TSTP Solution File: SWW617_2 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWW617_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:08:53 EDT 2022
% Result : Theorem 7.27s 1.30s
% Output : Refutation 7.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 195
% Syntax : Number of formulae : 505 ( 10 unt; 102 typ; 0 def)
% Number of atoms : 1582 ( 169 equ)
% Maximal formula atoms : 20 ( 3 avg)
% Number of connectives : 1732 ( 553 ~; 781 |; 242 &)
% ( 94 <=>; 62 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 10 ( 2 avg)
% Number arithmetic : 2144 ( 627 atm; 563 fun; 582 num; 372 var)
% Number of types : 14 ( 12 usr; 1 ari)
% Number of type conns : 147 ( 75 >; 72 *; 0 +; 0 <<)
% Number of predicates : 86 ( 82 usr; 66 prp; 0-4 aty)
% Number of functors : 79 ( 73 usr; 17 con; 0-5 aty)
% Number of variables : 631 ( 588 !; 43 ?; 624 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
set1: $tType ).
tff(type_def_10,type,
map_int_lpmap_int_intrp: $tType ).
tff(type_def_11,type,
map_int_int: $tType ).
tff(type_def_12,type,
lpintcm_setrp: $tType ).
tff(type_def_13,type,
lpintcm_map_int_intrp: $tType ).
tff(type_def_14,type,
t18_lpintcm_setrp_lpintcm_map_int_intrp: $tType ).
tff(type_def_15,type,
option_lpintcm_map_int_intrp: $tType ).
tff(type_def_16,type,
map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
min: ( $int * $int ) > $int ).
tff(func_def_13,type,
max: ( $int * $int ) > $int ).
tff(func_def_14,type,
map: ( ty * ty ) > ty ).
tff(func_def_15,type,
get: ( ty * ty * uni * uni ) > uni ).
tff(func_def_16,type,
set: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_17,type,
const: ( ty * ty * uni ) > uni ).
tff(func_def_18,type,
ref: ty > ty ).
tff(func_def_19,type,
mk_ref: ( ty * uni ) > uni ).
tff(func_def_20,type,
contents: ( ty * uni ) > uni ).
tff(func_def_21,type,
n: $int ).
tff(func_def_22,type,
size: $int ).
tff(func_def_23,type,
set2: ty ).
tff(func_def_24,type,
remove: ( $int * set1 ) > set1 ).
tff(func_def_25,type,
below: $int > set1 ).
tff(func_def_26,type,
cardinal: set1 > $int ).
tff(func_def_29,type,
m: map_int_lpmap_int_intrp ).
tff(func_def_30,type,
t2tb: map_int_int > uni ).
tff(func_def_31,type,
tb2t: uni > map_int_int ).
tff(func_def_32,type,
t2tb1: map_int_lpmap_int_intrp > uni ).
tff(func_def_33,type,
tb2t1: uni > map_int_lpmap_int_intrp ).
tff(func_def_34,type,
t2tb2: $int > uni ).
tff(func_def_35,type,
tb2t2: uni > $int ).
tff(func_def_36,type,
f: ( map_int_int * $int ) > $int ).
tff(func_def_37,type,
sum: ( map_int_int * $int * $int ) > $int ).
tff(func_def_39,type,
option: ty > ty ).
tff(func_def_40,type,
none: ty > uni ).
tff(func_def_41,type,
some: ( ty * uni ) > uni ).
tff(func_def_42,type,
match_option: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_43,type,
some_proj_1: ( ty * uni ) > uni ).
tff(func_def_44,type,
t: ( ty * ty ) > ty ).
tff(func_def_45,type,
mk_t: ( ty * ty * uni ) > uni ).
tff(func_def_46,type,
contents1: ( ty * ty * uni ) > uni ).
tff(func_def_47,type,
mixfix_lbrb: ( ty * ty * uni * uni ) > uni ).
tff(func_def_48,type,
tuple2: ( ty * ty ) > ty ).
tff(func_def_49,type,
tuple21: ( ty * ty * uni * uni ) > uni ).
tff(func_def_50,type,
tuple2_proj_1: ( ty * ty * uni ) > uni ).
tff(func_def_51,type,
tuple2_proj_2: ( ty * ty * uni ) > uni ).
tff(func_def_52,type,
t2tb3: lpintcm_setrp > uni ).
tff(func_def_53,type,
tb2t3: uni > lpintcm_setrp ).
tff(func_def_54,type,
t2tb4: set1 > uni ).
tff(func_def_55,type,
tb2t4: uni > set1 ).
tff(func_def_56,type,
t2tb5: lpintcm_map_int_intrp > uni ).
tff(func_def_57,type,
tb2t5: uni > lpintcm_map_int_intrp ).
tff(func_def_58,type,
t2tb6: option_lpintcm_map_int_intrp > uni ).
tff(func_def_59,type,
tb2t6: uni > option_lpintcm_map_int_intrp ).
tff(func_def_60,type,
t2tb7: t18_lpintcm_setrp_lpintcm_map_int_intrp > uni ).
tff(func_def_61,type,
tb2t7: uni > t18_lpintcm_setrp_lpintcm_map_int_intrp ).
tff(func_def_62,type,
t2tb8: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp > uni ).
tff(func_def_63,type,
tb2t8: uni > map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp ).
tff(func_def_65,type,
sK3: ( $int * map_int_int ) > $int ).
tff(func_def_66,type,
sK4: ( $int * map_int_int ) > $int ).
tff(func_def_67,type,
sK5: ( map_int_int * $int ) > $int ).
tff(func_def_68,type,
sK6: ( $int * $int * set1 ) > map_int_int ).
tff(func_def_69,type,
sK7: ( $int * set1 * map_int_int ) > $int ).
tff(func_def_70,type,
sK8: ( $int * set1 * map_int_int ) > $int ).
tff(func_def_71,type,
sK9: set1 > $int ).
tff(func_def_72,type,
sK10: ( $int * map_int_int * map_int_int * $int ) > $int ).
tff(func_def_73,type,
sK11: set1 > $int ).
tff(func_def_74,type,
sK12: set1 ).
tff(func_def_75,type,
sK13: $int ).
tff(func_def_76,type,
sK14: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp ).
tff(func_def_77,type,
sK15: t18_lpintcm_setrp_lpintcm_map_int_intrp > lpintcm_setrp ).
tff(func_def_78,type,
sK16: t18_lpintcm_setrp_lpintcm_map_int_intrp > lpintcm_map_int_intrp ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( $int * set1 ) > $o ).
tff(pred_def_5,type,
solution: ( map_int_int * $int ) > $o ).
tff(pred_def_6,type,
pre: lpintcm_setrp > $o ).
tff(pred_def_7,type,
post: ( lpintcm_setrp * lpintcm_map_int_intrp ) > $o ).
tff(pred_def_8,type,
inv: t18_lpintcm_setrp_lpintcm_map_int_intrp > $o ).
tff(pred_def_9,type,
sP0: ( $int * map_int_int ) > $o ).
tff(pred_def_10,type,
sP1: ( $int * set1 * map_int_int ) > $o ).
tff(pred_def_11,type,
sP2: ( $int * $int * map_int_int * set1 ) > $o ).
tff(pred_def_12,type,
sP17: bool > $o ).
tff(pred_def_13,type,
sP18: $int > $o ).
tff(pred_def_14,type,
sP19: ( $int * map_int_int ) > $o ).
tff(pred_def_15,type,
sP20: ( set1 * $int * $int ) > $o ).
tff(pred_def_16,type,
sP21: ( set1 * $int * $int ) > $o ).
tff(pred_def_17,type,
sP22: ( set1 * $int * $int ) > $o ).
tff(pred_def_18,type,
sP23: set1 > $o ).
tff(pred_def_19,type,
sP24: set1 > $o ).
tff(f2085,plain,
$false,
inference(avatar_smt_refutation,[],[f566,f571,f576,f581,f587,f597,f602,f607,f612,f622,f660,f664,f673,f677,f681,f686,f691,f695,f699,f700,f704,f708,f712,f713,f717,f721,f722,f723,f727,f741,f796,f808,f832,f841,f851,f856,f914,f920,f1000,f1004,f1011,f1041,f1045,f1117,f1121,f1127,f1245,f1249,f1866,f1900,f1911,f1916,f1927,f1932,f1937,f1942,f1973,f1983,f2061,f2079,f2084]) ).
tff(f2084,plain,
( spl25_65
| spl25_53 ),
inference(avatar_split_clause,[],[f2074,f1863,f2081]) ).
tff(f2081,plain,
( spl25_65
<=> $less(0,$sum($sum(sK8(n,sK12,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_65])]) ).
tff(f1863,plain,
( spl25_53
<=> sP1(n,sK12,tb2t(const(int,int,t2tb2(0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_53])]) ).
tff(f2074,plain,
( $less(0,$sum($sum(sK8(n,sK12,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n)))
| spl25_53 ),
inference(resolution,[],[f1865,f516]) ).
tff(f516,plain,
! [X2: map_int_int,X0: $int,X1: set1] :
( sP1(X0,X1,X2)
| $less(0,$sum($sum(sK8(X0,X1,X2),1),$uminus(X0))) ),
inference(evaluation,[],[f405]) ).
tff(f405,plain,
! [X2: map_int_int,X0: $int,X1: set1] :
( sP1(X0,X1,X2)
| ~ $less(sK8(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f301]) ).
tff(f301,plain,
! [X0: $int,X1: set1,X2: map_int_int] :
( ( sP1(X0,X1,X2)
| ( $less(sK8(X0,X1,X2),n)
& ~ $less(sK8(X0,X1,X2),X0)
& ~ mem(tb2t2(get(int,int,t2tb(X2),t2tb2(sK8(X0,X1,X2)))),X1) ) )
& ( ! [X4: $int] :
( ~ $less(X4,n)
| $less(X4,X0)
| mem(tb2t2(get(int,int,t2tb(X2),t2tb2(X4))),X1) )
| ~ sP1(X0,X1,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f299,f300]) ).
tff(f300,plain,
! [X0: $int,X1: set1,X2: map_int_int] :
( ? [X3: $int] :
( $less(X3,n)
& ~ $less(X3,X0)
& ~ mem(tb2t2(get(int,int,t2tb(X2),t2tb2(X3))),X1) )
=> ( $less(sK8(X0,X1,X2),n)
& ~ $less(sK8(X0,X1,X2),X0)
& ~ mem(tb2t2(get(int,int,t2tb(X2),t2tb2(sK8(X0,X1,X2)))),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f299,plain,
! [X0: $int,X1: set1,X2: map_int_int] :
( ( sP1(X0,X1,X2)
| ? [X3: $int] :
( $less(X3,n)
& ~ $less(X3,X0)
& ~ mem(tb2t2(get(int,int,t2tb(X2),t2tb2(X3))),X1) ) )
& ( ! [X4: $int] :
( ~ $less(X4,n)
| $less(X4,X0)
| mem(tb2t2(get(int,int,t2tb(X2),t2tb2(X4))),X1) )
| ~ sP1(X0,X1,X2) ) ),
inference(rectify,[],[f298]) ).
tff(f298,plain,
! [X3: $int,X2: set1,X1: map_int_int] :
( ( sP1(X3,X2,X1)
| ? [X4: $int] :
( $less(X4,n)
& ~ $less(X4,X3)
& ~ mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X4))),X2) ) )
& ( ! [X4: $int] :
( ~ $less(X4,n)
| $less(X4,X3)
| mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X4))),X2) )
| ~ sP1(X3,X2,X1) ) ),
inference(nnf_transformation,[],[f262]) ).
tff(f262,plain,
! [X3: $int,X2: set1,X1: map_int_int] :
( sP1(X3,X2,X1)
<=> ! [X4: $int] :
( ~ $less(X4,n)
| $less(X4,X3)
| mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X4))),X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
tff(f1865,plain,
( ~ sP1(n,sK12,tb2t(const(int,int,t2tb2(0))))
| spl25_53 ),
inference(avatar_component_clause,[],[f1863]) ).
tff(f2079,plain,
( spl25_64
| spl25_53 ),
inference(avatar_split_clause,[],[f2072,f1863,f2076]) ).
tff(f2076,plain,
( spl25_64
<=> $less(0,$sum(n,$uminus(sK8(n,sK12,tb2t(const(int,int,t2tb2(0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_64])]) ).
tff(f2072,plain,
( $less(0,$sum(n,$uminus(sK8(n,sK12,tb2t(const(int,int,t2tb2(0)))))))
| spl25_53 ),
inference(resolution,[],[f1865,f551]) ).
tff(f551,plain,
! [X2: map_int_int,X0: $int,X1: set1] :
( $less(0,$sum(n,$uminus(sK8(X0,X1,X2))))
| sP1(X0,X1,X2) ),
inference(evaluation,[],[f406]) ).
tff(f406,plain,
! [X2: map_int_int,X0: $int,X1: set1] :
( $less(sK8(X0,X1,X2),n)
| sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f301]) ).
tff(f2061,plain,
( spl25_63
| ~ spl25_27
| ~ spl25_55 ),
inference(avatar_split_clause,[],[f2056,f1897,f719,f1970]) ).
tff(f1970,plain,
( spl25_63
<=> sP19(n,tb2t(const(int,int,t2tb2(0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_63])]) ).
tff(f719,plain,
( spl25_27
<=> ! [X10: map_int_int] :
( ~ sP0(n,X10)
| sP19(n,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_27])]) ).
tff(f1897,plain,
( spl25_55
<=> sP0(n,tb2t(const(int,int,t2tb2(0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_55])]) ).
tff(f2056,plain,
( sP19(n,tb2t(const(int,int,t2tb2(0))))
| ~ spl25_27
| ~ spl25_55 ),
inference(resolution,[],[f1898,f720]) ).
tff(f720,plain,
( ! [X10: map_int_int] :
( ~ sP0(n,X10)
| sP19(n,X10) )
| ~ spl25_27 ),
inference(avatar_component_clause,[],[f719]) ).
tff(f1898,plain,
( sP0(n,tb2t(const(int,int,t2tb2(0))))
| ~ spl25_55 ),
inference(avatar_component_clause,[],[f1897]) ).
tff(f1983,plain,
( spl25_55
| ~ spl25_52 ),
inference(avatar_split_clause,[],[f1954,f1859,f1897]) ).
tff(f1859,plain,
( spl25_52
<=> solution(tb2t(const(int,int,t2tb2(0))),n) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_52])]) ).
tff(f1954,plain,
( sP0(n,tb2t(const(int,int,t2tb2(0))))
| ~ spl25_52 ),
inference(resolution,[],[f1860,f359]) ).
tff(f359,plain,
! [X0: map_int_int,X1: $int] :
( ~ solution(X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f276]) ).
tff(f276,plain,
! [X0: map_int_int,X1: $int] :
( ( solution(X0,X1)
| ~ sP0(X1,X0)
| ( $less(sK5(X0,X1),n)
& ( $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK5(X0,X1)))),0)
| ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK5(X0,X1)))),n) )
& ~ $less(sK5(X0,X1),X1) ) )
& ( ( sP0(X1,X0)
& ! [X3: $int] :
( ~ $less(X3,n)
| ( ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X3))),0)
& $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X3))),n) )
| $less(X3,X1) ) )
| ~ solution(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f274,f275]) ).
tff(f275,plain,
! [X0: map_int_int,X1: $int] :
( ? [X2: $int] :
( $less(X2,n)
& ( $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X2))),0)
| ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X2))),n) )
& ~ $less(X2,X1) )
=> ( $less(sK5(X0,X1),n)
& ( $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK5(X0,X1)))),0)
| ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK5(X0,X1)))),n) )
& ~ $less(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f274,plain,
! [X0: map_int_int,X1: $int] :
( ( solution(X0,X1)
| ~ sP0(X1,X0)
| ? [X2: $int] :
( $less(X2,n)
& ( $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X2))),0)
| ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X2))),n) )
& ~ $less(X2,X1) ) )
& ( ( sP0(X1,X0)
& ! [X3: $int] :
( ~ $less(X3,n)
| ( ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X3))),0)
& $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X3))),n) )
| $less(X3,X1) ) )
| ~ solution(X0,X1) ) ),
inference(rectify,[],[f273]) ).
tff(f273,plain,
! [X0: map_int_int,X1: $int] :
( ( solution(X0,X1)
| ~ sP0(X1,X0)
| ? [X4: $int] :
( $less(X4,n)
& ( $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)
| ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) )
& ~ $less(X4,X1) ) )
& ( ( sP0(X1,X0)
& ! [X4: $int] :
( ~ $less(X4,n)
| ( ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)
& $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) )
| $less(X4,X1) ) )
| ~ solution(X0,X1) ) ),
inference(flattening,[],[f272]) ).
tff(f272,plain,
! [X0: map_int_int,X1: $int] :
( ( solution(X0,X1)
| ~ sP0(X1,X0)
| ? [X4: $int] :
( $less(X4,n)
& ( $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)
| ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) )
& ~ $less(X4,X1) ) )
& ( ( sP0(X1,X0)
& ! [X4: $int] :
( ~ $less(X4,n)
| ( ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)
& $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) )
| $less(X4,X1) ) )
| ~ solution(X0,X1) ) ),
inference(nnf_transformation,[],[f261]) ).
tff(f261,plain,
! [X0: map_int_int,X1: $int] :
( solution(X0,X1)
<=> ( sP0(X1,X0)
& ! [X4: $int] :
( ~ $less(X4,n)
| ( ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)
& $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) )
| $less(X4,X1) ) ) ),
inference(definition_folding,[],[f220,f260]) ).
tff(f260,plain,
! [X1: $int,X0: map_int_int] :
( sP0(X1,X0)
<=> ! [X3: $int,X2: $int] :
( ~ $less(X3,X2)
| $less(X3,X1)
| ~ $less(X2,n)
| ( tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) ) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
tff(f220,plain,
! [X0: map_int_int,X1: $int] :
( solution(X0,X1)
<=> ( ! [X3: $int,X2: $int] :
( ~ $less(X3,X2)
| $less(X3,X1)
| ~ $less(X2,n)
| ( tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) ) )
& ! [X4: $int] :
( ~ $less(X4,n)
| ( ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)
& $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) )
| $less(X4,X1) ) ) ),
inference(flattening,[],[f219]) ).
tff(f219,plain,
! [X0: map_int_int,X1: $int] :
( solution(X0,X1)
<=> ( ! [X4: $int] :
( ( ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)
& $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) )
| $less(X4,X1)
| ~ $less(X4,n) )
& ! [X3: $int,X2: $int] :
( ( tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) )
| ~ $less(X3,X2)
| ~ $less(X2,n)
| $less(X3,X1) ) ) ),
inference(ennf_transformation,[],[f152]) ).
tff(f152,plain,
! [X0: map_int_int,X1: $int] :
( solution(X0,X1)
<=> ( ! [X4: $int] :
( ( ~ $less(X4,X1)
& $less(X4,n) )
=> ( ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),0)
& $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X4))),n) ) )
& ! [X3: $int,X2: $int] :
( ( $less(X3,X2)
& $less(X2,n)
& ~ $less(X3,X1) )
=> ( tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) ) ) ) ),
inference(rectify,[],[f101]) ).
tff(f101,plain,
! [X13: map_int_int,X15: $int] :
( solution(X13,X15)
<=> ( ! [X19: $int,X18: $int] :
( ( $less(X18,X19)
& $less(X19,n)
& ~ $less(X18,X15) )
=> ( tb2t2(get(int,int,t2tb(X13),t2tb2(X18))) != tb2t2(get(int,int,t2tb(X13),t2tb2(X19))) ) )
& ! [X17: $int] :
( ( $less(X17,n)
& ~ $less(X17,X15) )
=> ( ~ $less(tb2t2(get(int,int,t2tb(X13),t2tb2(X17))),0)
& $less(tb2t2(get(int,int,t2tb(X13),t2tb2(X17))),n) ) ) ) ),
inference(theory_normalization,[],[f46]) ).
tff(f46,axiom,
! [X13: map_int_int,X15: $int] :
( solution(X13,X15)
<=> ( ! [X19: $int,X18: $int] :
( ( $less(X18,X19)
& $less(X19,n)
& $lesseq(X15,X18) )
=> ( tb2t2(get(int,int,t2tb(X13),t2tb2(X18))) != tb2t2(get(int,int,t2tb(X13),t2tb2(X19))) ) )
& ! [X17: $int] :
( ( $less(X17,n)
& $lesseq(X15,X17) )
=> ( $lesseq(0,tb2t2(get(int,int,t2tb(X13),t2tb2(X17))))
& $less(tb2t2(get(int,int,t2tb(X13),t2tb2(X17))),n) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',solution_def) ).
tff(f1860,plain,
( solution(tb2t(const(int,int,t2tb2(0))),n)
| ~ spl25_52 ),
inference(avatar_component_clause,[],[f1859]) ).
tff(f1973,plain,
( spl25_63
| ~ spl25_27
| ~ spl25_52 ),
inference(avatar_split_clause,[],[f1947,f1859,f719,f1970]) ).
tff(f1947,plain,
( sP19(n,tb2t(const(int,int,t2tb2(0))))
| ~ spl25_27
| ~ spl25_52 ),
inference(resolution,[],[f1860,f744]) ).
tff(f744,plain,
( ! [X1: map_int_int] :
( ~ solution(X1,n)
| sP19(n,X1) )
| ~ spl25_27 ),
inference(resolution,[],[f720,f359]) ).
tff(f1942,plain,
( spl25_62
| spl25_55 ),
inference(avatar_split_clause,[],[f1919,f1897,f1939]) ).
tff(f1939,plain,
( spl25_62
<=> $less(0,$sum(n,$uminus(sK4(n,tb2t(const(int,int,t2tb2(0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_62])]) ).
tff(f1919,plain,
( $less(0,$sum(n,$uminus(sK4(n,tb2t(const(int,int,t2tb2(0)))))))
| spl25_55 ),
inference(resolution,[],[f1899,f560]) ).
tff(f560,plain,
! [X0: $int,X1: map_int_int] :
( sP0(X0,X1)
| $less(0,$sum(n,$uminus(sK4(X0,X1)))) ),
inference(evaluation,[],[f354]) ).
tff(f354,plain,
! [X0: $int,X1: map_int_int] :
( sP0(X0,X1)
| $less(sK4(X0,X1),n) ),
inference(cnf_transformation,[],[f271]) ).
tff(f271,plain,
! [X0: $int,X1: map_int_int] :
( ( sP0(X0,X1)
| ( $less(sK3(X0,X1),sK4(X0,X1))
& ~ $less(sK3(X0,X1),X0)
& $less(sK4(X0,X1),n)
& ( tb2t2(get(int,int,t2tb(X1),t2tb2(sK3(X0,X1)))) = tb2t2(get(int,int,t2tb(X1),t2tb2(sK4(X0,X1)))) ) ) )
& ( ! [X4: $int,X5: $int] :
( ~ $less(X4,X5)
| $less(X4,X0)
| ~ $less(X5,n)
| ( tb2t2(get(int,int,t2tb(X1),t2tb2(X5))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X4))) ) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f269,f270]) ).
tff(f270,plain,
! [X0: $int,X1: map_int_int] :
( ? [X2: $int,X3: $int] :
( $less(X2,X3)
& ~ $less(X2,X0)
& $less(X3,n)
& ( tb2t2(get(int,int,t2tb(X1),t2tb2(X3))) = tb2t2(get(int,int,t2tb(X1),t2tb2(X2))) ) )
=> ( $less(sK3(X0,X1),sK4(X0,X1))
& ~ $less(sK3(X0,X1),X0)
& $less(sK4(X0,X1),n)
& ( tb2t2(get(int,int,t2tb(X1),t2tb2(sK3(X0,X1)))) = tb2t2(get(int,int,t2tb(X1),t2tb2(sK4(X0,X1)))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f269,plain,
! [X0: $int,X1: map_int_int] :
( ( sP0(X0,X1)
| ? [X2: $int,X3: $int] :
( $less(X2,X3)
& ~ $less(X2,X0)
& $less(X3,n)
& ( tb2t2(get(int,int,t2tb(X1),t2tb2(X3))) = tb2t2(get(int,int,t2tb(X1),t2tb2(X2))) ) ) )
& ( ! [X4: $int,X5: $int] :
( ~ $less(X4,X5)
| $less(X4,X0)
| ~ $less(X5,n)
| ( tb2t2(get(int,int,t2tb(X1),t2tb2(X5))) != tb2t2(get(int,int,t2tb(X1),t2tb2(X4))) ) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f268]) ).
tff(f268,plain,
! [X1: $int,X0: map_int_int] :
( ( sP0(X1,X0)
| ? [X3: $int,X2: $int] :
( $less(X3,X2)
& ~ $less(X3,X1)
& $less(X2,n)
& ( tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) = tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) ) ) )
& ( ! [X3: $int,X2: $int] :
( ~ $less(X3,X2)
| $less(X3,X1)
| ~ $less(X2,n)
| ( tb2t2(get(int,int,t2tb(X0),t2tb2(X2))) != tb2t2(get(int,int,t2tb(X0),t2tb2(X3))) ) )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f260]) ).
tff(f1899,plain,
( ~ sP0(n,tb2t(const(int,int,t2tb2(0))))
| spl25_55 ),
inference(avatar_component_clause,[],[f1897]) ).
tff(f1937,plain,
( spl25_61
| spl25_55 ),
inference(avatar_split_clause,[],[f1920,f1897,f1934]) ).
tff(f1934,plain,
( spl25_61
<=> $less(0,$sum(sK4(n,tb2t(const(int,int,t2tb2(0)))),$uminus(sK3(n,tb2t(const(int,int,t2tb2(0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_61])]) ).
tff(f1920,plain,
( $less(0,$sum(sK4(n,tb2t(const(int,int,t2tb2(0)))),$uminus(sK3(n,tb2t(const(int,int,t2tb2(0)))))))
| spl25_55 ),
inference(resolution,[],[f1899,f536]) ).
tff(f536,plain,
! [X0: $int,X1: map_int_int] :
( $less(0,$sum(sK4(X0,X1),$uminus(sK3(X0,X1))))
| sP0(X0,X1) ),
inference(evaluation,[],[f356]) ).
tff(f356,plain,
! [X0: $int,X1: map_int_int] :
( $less(sK3(X0,X1),sK4(X0,X1))
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
tff(f1932,plain,
( spl25_60
| spl25_55 ),
inference(avatar_split_clause,[],[f1921,f1897,f1929]) ).
tff(f1929,plain,
( spl25_60
<=> $less(0,$sum($sum(sK3(n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_60])]) ).
tff(f1921,plain,
( $less(0,$sum($sum(sK3(n,tb2t(const(int,int,t2tb2(0)))),1),$uminus(n)))
| spl25_55 ),
inference(resolution,[],[f1899,f510]) ).
tff(f510,plain,
! [X0: $int,X1: map_int_int] :
( $less(0,$sum($sum(sK3(X0,X1),1),$uminus(X0)))
| sP0(X0,X1) ),
inference(evaluation,[],[f355]) ).
tff(f355,plain,
! [X0: $int,X1: map_int_int] :
( ~ $less(sK3(X0,X1),X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
tff(f1927,plain,
( spl25_59
| spl25_55 ),
inference(avatar_split_clause,[],[f1922,f1897,f1924]) ).
tff(f1924,plain,
( spl25_59
<=> ( tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK4(n,tb2t(const(int,int,t2tb2(0))))))) = tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK3(n,tb2t(const(int,int,t2tb2(0))))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_59])]) ).
tff(f1922,plain,
( ( tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK4(n,tb2t(const(int,int,t2tb2(0))))))) = tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK3(n,tb2t(const(int,int,t2tb2(0))))))) )
| spl25_55 ),
inference(forward_demodulation,[],[f1917,f366]) ).
tff(f366,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(cnf_transformation,[],[f148]) ).
tff(f148,plain,
! [X0: uni] : ( t2tb(tb2t(X0)) = X0 ),
inference(rectify,[],[f38]) ).
tff(f38,axiom,
! [X16: uni] : ( t2tb(tb2t(X16)) = X16 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bridgeR) ).
tff(f1917,plain,
( ( tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK4(n,tb2t(const(int,int,t2tb2(0))))))) = tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK3(n,tb2t(const(int,int,t2tb2(0))))))) )
| spl25_55 ),
inference(resolution,[],[f1899,f353]) ).
tff(f353,plain,
! [X0: $int,X1: map_int_int] :
( sP0(X0,X1)
| ( tb2t2(get(int,int,t2tb(X1),t2tb2(sK3(X0,X1)))) = tb2t2(get(int,int,t2tb(X1),t2tb2(sK4(X0,X1)))) ) ),
inference(cnf_transformation,[],[f271]) ).
tff(f1916,plain,
( ~ spl25_55
| spl25_58
| spl25_52 ),
inference(avatar_split_clause,[],[f1890,f1859,f1913,f1897]) ).
tff(f1913,plain,
( spl25_58
<=> $less(0,$sum(n,$uminus(sK5(tb2t(const(int,int,t2tb2(0))),n)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_58])]) ).
tff(f1890,plain,
( $less(0,$sum(n,$uminus(sK5(tb2t(const(int,int,t2tb2(0))),n))))
| ~ sP0(n,tb2t(const(int,int,t2tb2(0))))
| spl25_52 ),
inference(resolution,[],[f1861,f524]) ).
tff(f524,plain,
! [X0: map_int_int,X1: $int] :
( ~ sP0(X1,X0)
| solution(X0,X1)
| $less(0,$sum(n,$uminus(sK5(X0,X1)))) ),
inference(evaluation,[],[f362]) ).
tff(f362,plain,
! [X0: map_int_int,X1: $int] :
( ~ sP0(X1,X0)
| solution(X0,X1)
| $less(sK5(X0,X1),n) ),
inference(cnf_transformation,[],[f276]) ).
tff(f1861,plain,
( ~ solution(tb2t(const(int,int,t2tb2(0))),n)
| spl25_52 ),
inference(avatar_component_clause,[],[f1859]) ).
tff(f1911,plain,
( ~ spl25_55
| spl25_56
| spl25_57
| spl25_52 ),
inference(avatar_split_clause,[],[f1902,f1859,f1908,f1904,f1897]) ).
tff(f1904,plain,
( spl25_56
<=> $less(0,$sum(0,$uminus(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK5(tb2t(const(int,int,t2tb2(0))),n))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_56])]) ).
tff(f1908,plain,
( spl25_57
<=> $less(0,$sum($sum(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK5(tb2t(const(int,int,t2tb2(0))),n)))),1),$uminus(n))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_57])]) ).
tff(f1902,plain,
( $less(0,$sum($sum(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK5(tb2t(const(int,int,t2tb2(0))),n)))),1),$uminus(n)))
| $less(0,$sum(0,$uminus(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK5(tb2t(const(int,int,t2tb2(0))),n)))))))
| ~ sP0(n,tb2t(const(int,int,t2tb2(0))))
| spl25_52 ),
inference(forward_demodulation,[],[f1901,f366]) ).
tff(f1901,plain,
( ~ sP0(n,tb2t(const(int,int,t2tb2(0))))
| $less(0,$sum(0,$uminus(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK5(tb2t(const(int,int,t2tb2(0))),n)))))))
| $less(0,$sum($sum(tb2t2(get(int,int,const(int,int,t2tb2(0)),t2tb2(sK5(tb2t(const(int,int,t2tb2(0))),n)))),1),$uminus(n)))
| spl25_52 ),
inference(forward_demodulation,[],[f1889,f366]) ).
tff(f1889,plain,
( $less(0,$sum($sum(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK5(tb2t(const(int,int,t2tb2(0))),n)))),1),$uminus(n)))
| ~ sP0(n,tb2t(const(int,int,t2tb2(0))))
| $less(0,$sum(0,$uminus(tb2t2(get(int,int,t2tb(tb2t(const(int,int,t2tb2(0)))),t2tb2(sK5(tb2t(const(int,int,t2tb2(0))),n)))))))
| spl25_52 ),
inference(resolution,[],[f1861,f526]) ).
tff(f526,plain,
! [X0: map_int_int,X1: $int] :
( $less(0,$sum(0,$uminus(tb2t2(get(int,int,t2tb(X0),t2tb2(sK5(X0,X1)))))))
| ~ sP0(X1,X0)
| $less(0,$sum($sum(tb2t2(get(int,int,t2tb(X0),t2tb2(sK5(X0,X1)))),1),$uminus(n)))
| solution(X0,X1) ),
inference(evaluation,[],[f361]) ).
tff(f361,plain,
! [X0: map_int_int,X1: $int] :
( $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK5(X0,X1)))),0)
| ~ sP0(X1,X0)
| ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(sK5(X0,X1)))),n)
| solution(X0,X1) ),
inference(cnf_transformation,[],[f276]) ).
tff(f1900,plain,
( spl25_54
| ~ spl25_55
| spl25_52 ),
inference(avatar_split_clause,[],[f1891,f1859,f1897,f1893]) ).
tff(f1893,plain,
( spl25_54
<=> $less(0,$sum($sum(sK5(tb2t(const(int,int,t2tb2(0))),n),1),$uminus(n))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_54])]) ).
tff(f1891,plain,
( ~ sP0(n,tb2t(const(int,int,t2tb2(0))))
| $less(0,$sum($sum(sK5(tb2t(const(int,int,t2tb2(0))),n),1),$uminus(n)))
| spl25_52 ),
inference(resolution,[],[f1861,f517]) ).
tff(f517,plain,
! [X0: map_int_int,X1: $int] :
( solution(X0,X1)
| $less(0,$sum($sum(sK5(X0,X1),1),$uminus(X1)))
| ~ sP0(X1,X0) ),
inference(evaluation,[],[f360]) ).
tff(f360,plain,
! [X0: map_int_int,X1: $int] :
( solution(X0,X1)
| ~ $less(sK5(X0,X1),X1)
| ~ sP0(X1,X0) ),
inference(cnf_transformation,[],[f276]) ).
tff(f1866,plain,
( ~ spl25_52
| ~ spl25_53
| spl25_10
| ~ spl25_28 ),
inference(avatar_split_clause,[],[f1841,f725,f619,f1863,f1859]) ).
tff(f619,plain,
( spl25_10
<=> post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK12))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_10])]) ).
tff(f725,plain,
( spl25_28
<=> ! [X11: map_int_int] : ( 0 = sum(X11,n,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_28])]) ).
tff(f1841,plain,
( ~ sP1(n,sK12,tb2t(const(int,int,t2tb2(0))))
| ~ solution(tb2t(const(int,int,t2tb2(0))),n)
| spl25_10
| ~ spl25_28 ),
inference(resolution,[],[f1293,f621]) ).
tff(f621,plain,
( ~ post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK12))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| spl25_10 ),
inference(avatar_component_clause,[],[f619]) ).
tff(f1293,plain,
( ! [X0: uni,X1: set1] :
( post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),X0)))
| ~ sP1(n,X1,tb2t(X0))
| ~ solution(tb2t(X0),n) )
| ~ spl25_28 ),
inference(superposition,[],[f976,f366]) ).
tff(f976,plain,
( ! [X10: set1,X11: map_int_int] :
( post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X10))),tb2t5(tuple21(int,map(int,int),t2tb2(0),t2tb(X11))))
| ~ solution(X11,n)
| ~ sP1(n,X10,X11) )
| ~ spl25_28 ),
inference(resolution,[],[f791,f408]) ).
tff(f408,plain,
! [X2: map_int_int,X3: $int,X0: $int,X1: set1] :
( post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X3),t2tb(X2))))
| ~ sP2(X3,X0,X2,X1) ),
inference(cnf_transformation,[],[f303]) ).
tff(f303,plain,
! [X0: $int,X1: set1,X2: map_int_int,X3: $int] :
( ( post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X3),t2tb(X2))))
| ~ sP2(X3,X0,X2,X1) )
& ( sP2(X3,X0,X2,X1)
| ~ post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(X3),t2tb(X2)))) ) ),
inference(rectify,[],[f302]) ).
tff(f302,plain,
! [X3: $int,X2: set1,X1: map_int_int,X0: $int] :
( ( post(tb2t3(tuple21(int,set2,t2tb2(X3),t2tb4(X2))),tb2t5(tuple21(int,map(int,int),t2tb2(X0),t2tb(X1))))
| ~ sP2(X0,X3,X1,X2) )
& ( sP2(X0,X3,X1,X2)
| ~ post(tb2t3(tuple21(int,set2,t2tb2(X3),t2tb4(X2))),tb2t5(tuple21(int,map(int,int),t2tb2(X0),t2tb(X1)))) ) ),
inference(nnf_transformation,[],[f264]) ).
tff(f264,plain,
! [X3: $int,X2: set1,X1: map_int_int,X0: $int] :
( post(tb2t3(tuple21(int,set2,t2tb2(X3),t2tb4(X2))),tb2t5(tuple21(int,map(int,int),t2tb2(X0),t2tb(X1))))
<=> sP2(X0,X3,X1,X2) ),
inference(definition_folding,[],[f238,f263,f262]) ).
tff(f263,plain,
! [X0: $int,X3: $int,X1: map_int_int,X2: set1] :
( sP2(X0,X3,X1,X2)
<=> ( ( sum(X1,X3,n) = X0 )
& solution(X1,X3)
& ~ $less(X0,0)
& ! [X5: map_int_int] :
( ? [X6: $int] :
( $less(X6,n)
& ~ $less(X6,X3)
& ~ mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X2) )
| ~ $less(X0,sum(X5,X3,n))
| ~ solution(X5,X3) )
& sP1(X3,X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
tff(f238,plain,
! [X3: $int,X2: set1,X1: map_int_int,X0: $int] :
( post(tb2t3(tuple21(int,set2,t2tb2(X3),t2tb4(X2))),tb2t5(tuple21(int,map(int,int),t2tb2(X0),t2tb(X1))))
<=> ( ( sum(X1,X3,n) = X0 )
& solution(X1,X3)
& ~ $less(X0,0)
& ! [X5: map_int_int] :
( ? [X6: $int] :
( $less(X6,n)
& ~ $less(X6,X3)
& ~ mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X2) )
| ~ $less(X0,sum(X5,X3,n))
| ~ solution(X5,X3) )
& ! [X4: $int] :
( ~ $less(X4,n)
| $less(X4,X3)
| mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X4))),X2) ) ) ),
inference(flattening,[],[f237]) ).
tff(f237,plain,
! [X3: $int,X1: map_int_int,X0: $int,X2: set1] :
( ( ! [X4: $int] :
( mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X4))),X2)
| $less(X4,X3)
| ~ $less(X4,n) )
& ! [X5: map_int_int] :
( ~ $less(X0,sum(X5,X3,n))
| ? [X6: $int] :
( ~ mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X2)
& $less(X6,n)
& ~ $less(X6,X3) )
| ~ solution(X5,X3) )
& ~ $less(X0,0)
& solution(X1,X3)
& ( sum(X1,X3,n) = X0 ) )
<=> post(tb2t3(tuple21(int,set2,t2tb2(X3),t2tb4(X2))),tb2t5(tuple21(int,map(int,int),t2tb2(X0),t2tb(X1)))) ),
inference(ennf_transformation,[],[f188]) ).
tff(f188,plain,
! [X3: $int,X1: map_int_int,X0: $int,X2: set1] :
( ( ! [X4: $int] :
( ( ~ $less(X4,X3)
& $less(X4,n) )
=> mem(tb2t2(get(int,int,t2tb(X1),t2tb2(X4))),X2) )
& ! [X5: map_int_int] :
( solution(X5,X3)
=> ( ! [X6: $int] :
( ( $less(X6,n)
& ~ $less(X6,X3) )
=> mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X2) )
=> ~ $less(X0,sum(X5,X3,n)) ) )
& ~ $less(X0,0)
& solution(X1,X3)
& ( sum(X1,X3,n) = X0 ) )
<=> post(tb2t3(tuple21(int,set2,t2tb2(X3),t2tb4(X2))),tb2t5(tuple21(int,map(int,int),t2tb2(X0),t2tb(X1)))) ),
inference(rectify,[],[f113]) ).
tff(f113,plain,
! [X26: $int,X27: map_int_int,X20: set1,X15: $int] :
( ( ! [X17: $int] :
( ( ~ $less(X17,X15)
& $less(X17,n) )
=> mem(tb2t2(get(int,int,t2tb(X27),t2tb2(X17))),X20) )
& solution(X27,X15)
& ( sum(X27,X15,n) = X26 )
& ~ $less(X26,0)
& ! [X13: map_int_int] :
( solution(X13,X15)
=> ( ! [X17: $int] :
( ( ~ $less(X17,X15)
& $less(X17,n) )
=> mem(tb2t2(get(int,int,t2tb(X13),t2tb2(X17))),X20) )
=> ~ $less(X26,sum(X13,X15,n)) ) ) )
<=> post(tb2t3(tuple21(int,set2,t2tb2(X15),t2tb4(X20))),tb2t5(tuple21(int,map(int,int),t2tb2(X26),t2tb(X27)))) ),
inference(theory_normalization,[],[f85]) ).
tff(f85,axiom,
! [X26: $int,X27: map_int_int,X20: set1,X15: $int] :
( ( ! [X17: $int] :
( ( $lesseq(X15,X17)
& $less(X17,n) )
=> mem(tb2t2(get(int,int,t2tb(X27),t2tb2(X17))),X20) )
& solution(X27,X15)
& ( sum(X27,X15,n) = X26 )
& $lesseq(0,X26)
& ! [X13: map_int_int] :
( solution(X13,X15)
=> ( ! [X17: $int] :
( ( $lesseq(X15,X17)
& $less(X17,n) )
=> mem(tb2t2(get(int,int,t2tb(X13),t2tb2(X17))),X20) )
=> $lesseq(sum(X13,X15,n),X26) ) ) )
<=> post(tb2t3(tuple21(int,set2,t2tb2(X15),t2tb4(X20))),tb2t5(tuple21(int,map(int,int),t2tb2(X26),t2tb(X27)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',post_def) ).
tff(f791,plain,
( ! [X26: set1,X25: map_int_int] :
( sP2(0,n,X25,X26)
| ~ sP1(n,X26,X25)
| ~ solution(X25,n) )
| ~ spl25_28 ),
inference(evaluation,[],[f790]) ).
tff(f790,plain,
( ! [X26: set1,X25: map_int_int] :
( ~ solution(X25,n)
| sP2(0,n,X25,X26)
| ~ sP1(n,X26,X25)
| $less(0,$sum(0,0)) )
| ~ spl25_28 ),
inference(forward_demodulation,[],[f789,f726]) ).
tff(f726,plain,
( ! [X11: map_int_int] : ( 0 = sum(X11,n,n) )
| ~ spl25_28 ),
inference(avatar_component_clause,[],[f725]) ).
tff(f789,plain,
( ! [X26: set1,X25: map_int_int] :
( sP2(0,n,X25,X26)
| ~ sP1(n,X26,X25)
| $less(0,$sum(sum(sK6(0,n,X26),n,n),0))
| ~ solution(X25,n) )
| ~ spl25_28 ),
inference(evaluation,[],[f765]) ).
tff(f765,plain,
( ! [X26: set1,X25: map_int_int] :
( $less(0,$sum(0,$uminus(0)))
| $less(0,$sum(sum(sK6(0,n,X26),n,n),$uminus(0)))
| sP2(0,n,X25,X26)
| ~ solution(X25,n)
| ~ sP1(n,X26,X25) )
| ~ spl25_28 ),
inference(superposition,[],[f535,f726]) ).
tff(f535,plain,
! [X2: map_int_int,X3: set1,X1: $int] :
( ~ sP1(X1,X3,X2)
| ~ solution(X2,X1)
| $less(0,$sum(sum(sK6(sum(X2,X1,n),X1,X3),X1,n),$uminus(sum(X2,X1,n))))
| sP2(sum(X2,X1,n),X1,X2,X3)
| $less(0,$sum(0,$uminus(sum(X2,X1,n)))) ),
inference(evaluation,[],[f496]) ).
tff(f496,plain,
! [X2: map_int_int,X3: set1,X1: $int] :
( ~ sP1(X1,X3,X2)
| ~ solution(X2,X1)
| $less(sum(X2,X1,n),sum(sK6(sum(X2,X1,n),X1,X3),X1,n))
| sP2(sum(X2,X1,n),X1,X2,X3)
| $less(sum(X2,X1,n),0) ),
inference(equality_resolution,[],[f401]) ).
tff(f401,plain,
! [X2: map_int_int,X3: set1,X0: $int,X1: $int] :
( sP2(X0,X1,X2,X3)
| ( sum(X2,X1,n) != X0 )
| ~ solution(X2,X1)
| $less(X0,0)
| $less(X0,sum(sK6(X0,X1,X3),X1,n))
| ~ sP1(X1,X3,X2) ),
inference(cnf_transformation,[],[f297]) ).
tff(f297,plain,
! [X0: $int,X1: $int,X2: map_int_int,X3: set1] :
( ( sP2(X0,X1,X2,X3)
| ( sum(X2,X1,n) != X0 )
| ~ solution(X2,X1)
| $less(X0,0)
| ( ! [X5: $int] :
( ~ $less(X5,n)
| $less(X5,X1)
| mem(tb2t2(get(int,int,t2tb(sK6(X0,X1,X3)),t2tb2(X5))),X3) )
& $less(X0,sum(sK6(X0,X1,X3),X1,n))
& solution(sK6(X0,X1,X3),X1) )
| ~ sP1(X1,X3,X2) )
& ( ( ( sum(X2,X1,n) = X0 )
& solution(X2,X1)
& ~ $less(X0,0)
& ! [X6: map_int_int] :
( ( $less(sK7(X1,X3,X6),n)
& ~ $less(sK7(X1,X3,X6),X1)
& ~ mem(tb2t2(get(int,int,t2tb(X6),t2tb2(sK7(X1,X3,X6)))),X3) )
| ~ $less(X0,sum(X6,X1,n))
| ~ solution(X6,X1) )
& sP1(X1,X3,X2) )
| ~ sP2(X0,X1,X2,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f294,f296,f295]) ).
tff(f295,plain,
! [X0: $int,X1: $int,X3: set1] :
( ? [X4: map_int_int] :
( ! [X5: $int] :
( ~ $less(X5,n)
| $less(X5,X1)
| mem(tb2t2(get(int,int,t2tb(X4),t2tb2(X5))),X3) )
& $less(X0,sum(X4,X1,n))
& solution(X4,X1) )
=> ( ! [X5: $int] :
( ~ $less(X5,n)
| $less(X5,X1)
| mem(tb2t2(get(int,int,t2tb(sK6(X0,X1,X3)),t2tb2(X5))),X3) )
& $less(X0,sum(sK6(X0,X1,X3),X1,n))
& solution(sK6(X0,X1,X3),X1) ) ),
introduced(choice_axiom,[]) ).
tff(f296,plain,
! [X1: $int,X3: set1,X6: map_int_int] :
( ? [X7: $int] :
( $less(X7,n)
& ~ $less(X7,X1)
& ~ mem(tb2t2(get(int,int,t2tb(X6),t2tb2(X7))),X3) )
=> ( $less(sK7(X1,X3,X6),n)
& ~ $less(sK7(X1,X3,X6),X1)
& ~ mem(tb2t2(get(int,int,t2tb(X6),t2tb2(sK7(X1,X3,X6)))),X3) ) ),
introduced(choice_axiom,[]) ).
tff(f294,plain,
! [X0: $int,X1: $int,X2: map_int_int,X3: set1] :
( ( sP2(X0,X1,X2,X3)
| ( sum(X2,X1,n) != X0 )
| ~ solution(X2,X1)
| $less(X0,0)
| ? [X4: map_int_int] :
( ! [X5: $int] :
( ~ $less(X5,n)
| $less(X5,X1)
| mem(tb2t2(get(int,int,t2tb(X4),t2tb2(X5))),X3) )
& $less(X0,sum(X4,X1,n))
& solution(X4,X1) )
| ~ sP1(X1,X3,X2) )
& ( ( ( sum(X2,X1,n) = X0 )
& solution(X2,X1)
& ~ $less(X0,0)
& ! [X6: map_int_int] :
( ? [X7: $int] :
( $less(X7,n)
& ~ $less(X7,X1)
& ~ mem(tb2t2(get(int,int,t2tb(X6),t2tb2(X7))),X3) )
| ~ $less(X0,sum(X6,X1,n))
| ~ solution(X6,X1) )
& sP1(X1,X3,X2) )
| ~ sP2(X0,X1,X2,X3) ) ),
inference(rectify,[],[f293]) ).
tff(f293,plain,
! [X0: $int,X3: $int,X1: map_int_int,X2: set1] :
( ( sP2(X0,X3,X1,X2)
| ( sum(X1,X3,n) != X0 )
| ~ solution(X1,X3)
| $less(X0,0)
| ? [X5: map_int_int] :
( ! [X6: $int] :
( ~ $less(X6,n)
| $less(X6,X3)
| mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X2) )
& $less(X0,sum(X5,X3,n))
& solution(X5,X3) )
| ~ sP1(X3,X2,X1) )
& ( ( ( sum(X1,X3,n) = X0 )
& solution(X1,X3)
& ~ $less(X0,0)
& ! [X5: map_int_int] :
( ? [X6: $int] :
( $less(X6,n)
& ~ $less(X6,X3)
& ~ mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X2) )
| ~ $less(X0,sum(X5,X3,n))
| ~ solution(X5,X3) )
& sP1(X3,X2,X1) )
| ~ sP2(X0,X3,X1,X2) ) ),
inference(flattening,[],[f292]) ).
tff(f292,plain,
! [X0: $int,X3: $int,X1: map_int_int,X2: set1] :
( ( sP2(X0,X3,X1,X2)
| ( sum(X1,X3,n) != X0 )
| ~ solution(X1,X3)
| $less(X0,0)
| ? [X5: map_int_int] :
( ! [X6: $int] :
( ~ $less(X6,n)
| $less(X6,X3)
| mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X2) )
& $less(X0,sum(X5,X3,n))
& solution(X5,X3) )
| ~ sP1(X3,X2,X1) )
& ( ( ( sum(X1,X3,n) = X0 )
& solution(X1,X3)
& ~ $less(X0,0)
& ! [X5: map_int_int] :
( ? [X6: $int] :
( $less(X6,n)
& ~ $less(X6,X3)
& ~ mem(tb2t2(get(int,int,t2tb(X5),t2tb2(X6))),X2) )
| ~ $less(X0,sum(X5,X3,n))
| ~ solution(X5,X3) )
& sP1(X3,X2,X1) )
| ~ sP2(X0,X3,X1,X2) ) ),
inference(nnf_transformation,[],[f263]) ).
tff(f1249,plain,
( spl25_45
| spl25_46
| spl25_51
| ~ spl25_49 ),
inference(avatar_split_clause,[],[f1239,f1124,f1247,f1111,f1107]) ).
tff(f1107,plain,
( spl25_45
<=> $less(0,$sum(sK9(sK12),$uminus(n))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_45])]) ).
tff(f1111,plain,
( spl25_46
<=> $less(0,$sum(0,$uminus(sK9(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_46])]) ).
tff(f1247,plain,
( spl25_51
<=> ! [X0: set1] :
( ( $sum(n,$uminus(sK9(sK12))) != cardinal(X0) )
| $less(0,$sum($sum(sK9(X0),1),$uminus(n)))
| $less(0,$sum(1,$uminus(cardinal(X0))))
| $less(0,$sum(0,$uminus(sK9(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_51])]) ).
tff(f1124,plain,
( spl25_49
<=> $less(0,$sum(1,$uminus($sum(n,$uminus(sK9(sK12)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_49])]) ).
tff(f1239,plain,
( ! [X0: set1] :
( ( $sum(n,$uminus(sK9(sK12))) != cardinal(X0) )
| $less(0,$sum(0,$uminus(sK9(sK12))))
| $less(0,$sum(sK9(sK12),$uminus(n)))
| $less(0,$sum(0,$uminus(sK9(X0))))
| $less(0,$sum(1,$uminus(cardinal(X0))))
| $less(0,$sum($sum(sK9(X0),1),$uminus(n))) )
| ~ spl25_49 ),
inference(resolution,[],[f1128,f557]) ).
tff(f557,plain,
! [X0: set1,X1: $int] :
( $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(0,$uminus(sK9(X0))))
| pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| $less(0,$sum($sum(sK9(X0),1),$uminus(n)))
| $less(0,$sum(X1,$uminus(n)))
| ( $sum(n,$uminus(X1)) != cardinal(X0) ) ),
inference(evaluation,[],[f421]) ).
tff(f421,plain,
! [X0: set1,X1: $int] :
( $less(X1,0)
| $less(sK9(X0),0)
| pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ~ $less(sK9(X0),n)
| $less(n,X1)
| ( $sum(n,$uminus(X1)) != cardinal(X0) ) ),
inference(cnf_transformation,[],[f309]) ).
tff(f309,plain,
! [X0: set1,X1: $int] :
( ( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ( $sum(n,$uminus(X1)) != cardinal(X0) )
| $less(n,X1)
| $less(X1,0)
| ( mem(sK9(X0),X0)
& ( $less(sK9(X0),0)
| ~ $less(sK9(X0),n) ) ) )
& ( ( ( $sum(n,$uminus(X1)) = cardinal(X0) )
& ~ $less(n,X1)
& ~ $less(X1,0)
& ! [X3: $int] :
( ~ mem(X3,X0)
| ( ~ $less(X3,0)
& $less(X3,n) ) ) )
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f307,f308]) ).
tff(f308,plain,
! [X0: set1] :
( ? [X2: $int] :
( mem(X2,X0)
& ( $less(X2,0)
| ~ $less(X2,n) ) )
=> ( mem(sK9(X0),X0)
& ( $less(sK9(X0),0)
| ~ $less(sK9(X0),n) ) ) ),
introduced(choice_axiom,[]) ).
tff(f307,plain,
! [X0: set1,X1: $int] :
( ( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ( $sum(n,$uminus(X1)) != cardinal(X0) )
| $less(n,X1)
| $less(X1,0)
| ? [X2: $int] :
( mem(X2,X0)
& ( $less(X2,0)
| ~ $less(X2,n) ) ) )
& ( ( ( $sum(n,$uminus(X1)) = cardinal(X0) )
& ~ $less(n,X1)
& ~ $less(X1,0)
& ! [X3: $int] :
( ~ mem(X3,X0)
| ( ~ $less(X3,0)
& $less(X3,n) ) ) )
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ) ),
inference(rectify,[],[f306]) ).
tff(f306,plain,
! [X0: set1,X1: $int] :
( ( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ( $sum(n,$uminus(X1)) != cardinal(X0) )
| $less(n,X1)
| $less(X1,0)
| ? [X2: $int] :
( mem(X2,X0)
& ( $less(X2,0)
| ~ $less(X2,n) ) ) )
& ( ( ( $sum(n,$uminus(X1)) = cardinal(X0) )
& ~ $less(n,X1)
& ~ $less(X1,0)
& ! [X2: $int] :
( ~ mem(X2,X0)
| ( ~ $less(X2,0)
& $less(X2,n) ) ) )
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ) ),
inference(flattening,[],[f305]) ).
tff(f305,plain,
! [X0: set1,X1: $int] :
( ( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ( $sum(n,$uminus(X1)) != cardinal(X0) )
| $less(n,X1)
| $less(X1,0)
| ? [X2: $int] :
( mem(X2,X0)
& ( $less(X2,0)
| ~ $less(X2,n) ) ) )
& ( ( ( $sum(n,$uminus(X1)) = cardinal(X0) )
& ~ $less(n,X1)
& ~ $less(X1,0)
& ! [X2: $int] :
( ~ mem(X2,X0)
| ( ~ $less(X2,0)
& $less(X2,n) ) ) )
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ) ),
inference(nnf_transformation,[],[f221]) ).
tff(f221,plain,
! [X0: set1,X1: $int] :
( pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
<=> ( ( $sum(n,$uminus(X1)) = cardinal(X0) )
& ~ $less(n,X1)
& ~ $less(X1,0)
& ! [X2: $int] :
( ~ mem(X2,X0)
| ( ~ $less(X2,0)
& $less(X2,n) ) ) ) ),
inference(ennf_transformation,[],[f184]) ).
tff(f184,plain,
! [X0: set1,X1: $int] :
( ( ! [X2: $int] :
( mem(X2,X0)
=> ( ~ $less(X2,0)
& $less(X2,n) ) )
& ~ $less(n,X1)
& ( $sum(n,$uminus(X1)) = cardinal(X0) )
& ~ $less(X1,0) )
<=> pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ),
inference(rectify,[],[f111]) ).
tff(f111,plain,
! [X20: set1,X15: $int] :
( pre(tb2t3(tuple21(int,set2,t2tb2(X15),t2tb4(X20))))
<=> ( ! [X17: $int] :
( mem(X17,X20)
=> ( $less(X17,n)
& ~ $less(X17,0) ) )
& ~ $less(n,X15)
& ( cardinal(X20) = $sum(n,$uminus(X15)) )
& ~ $less(X15,0) ) ),
inference(theory_normalization,[],[f81]) ).
tff(f81,axiom,
! [X20: set1,X15: $int] :
( pre(tb2t3(tuple21(int,set2,t2tb2(X15),t2tb4(X20))))
<=> ( ! [X17: $int] :
( mem(X17,X20)
=> ( $less(X17,n)
& $lesseq(0,X17) ) )
& $lesseq(X15,n)
& ( cardinal(X20) = $difference(n,X15) )
& $lesseq(0,X15) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pre_def) ).
tff(f1128,plain,
( ! [X0: set1] :
( ~ pre(tb2t3(tuple21(int,set2,t2tb2(sK9(sK12)),t2tb4(X0))))
| $less(0,$sum(1,$uminus(cardinal(X0)))) )
| ~ spl25_49 ),
inference(superposition,[],[f1126,f420]) ).
tff(f420,plain,
! [X0: set1,X1: $int] :
( ( $sum(n,$uminus(X1)) = cardinal(X0) )
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ),
inference(cnf_transformation,[],[f309]) ).
tff(f1126,plain,
( $less(0,$sum(1,$uminus($sum(n,$uminus(sK9(sK12))))))
| ~ spl25_49 ),
inference(avatar_component_clause,[],[f1124]) ).
tff(f1245,plain,
( spl25_45
| spl25_46
| spl25_50
| ~ spl25_49 ),
inference(avatar_split_clause,[],[f1240,f1124,f1243,f1111,f1107]) ).
tff(f1243,plain,
( spl25_50
<=> ! [X1: set1] :
( ( cardinal(X1) != $sum(n,$uminus(sK9(sK12))) )
| mem(sK9(X1),X1)
| $less(0,$sum(1,$uminus(cardinal(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_50])]) ).
tff(f1240,plain,
( ! [X1: set1] :
( ( cardinal(X1) != $sum(n,$uminus(sK9(sK12))) )
| $less(0,$sum(1,$uminus(cardinal(X1))))
| $less(0,$sum(0,$uminus(sK9(sK12))))
| mem(sK9(X1),X1)
| $less(0,$sum(sK9(sK12),$uminus(n))) )
| ~ spl25_49 ),
inference(resolution,[],[f1128,f523]) ).
tff(f523,plain,
! [X0: set1,X1: $int] :
( ( $sum(n,$uminus(X1)) != cardinal(X0) )
| mem(sK9(X0),X0)
| $less(0,$sum(0,$uminus(X1)))
| pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| $less(0,$sum(X1,$uminus(n))) ),
inference(evaluation,[],[f422]) ).
tff(f422,plain,
! [X0: set1,X1: $int] :
( ( $sum(n,$uminus(X1)) != cardinal(X0) )
| mem(sK9(X0),X0)
| $less(X1,0)
| pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| $less(n,X1) ),
inference(cnf_transformation,[],[f309]) ).
tff(f1127,plain,
( spl25_49
| spl25_36 ),
inference(avatar_split_clause,[],[f1122,f848,f1124]) ).
tff(f848,plain,
( spl25_36
<=> $less(0,$sum(n,$uminus(sK9(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_36])]) ).
tff(f1122,plain,
( $less(0,$sum(1,$uminus($sum(n,$uminus(sK9(sK12))))))
| spl25_36 ),
inference(evaluation,[],[f849]) ).
tff(f849,plain,
( ~ $less(0,$sum(n,$uminus(sK9(sK12))))
| spl25_36 ),
inference(avatar_component_clause,[],[f848]) ).
tff(f1121,plain,
( spl25_46
| spl25_48
| spl25_45
| ~ spl25_36 ),
inference(avatar_split_clause,[],[f1103,f848,f1107,f1119,f1111]) ).
tff(f1119,plain,
( spl25_48
<=> ! [X0: set1] :
( $less(0,cardinal(X0))
| ( $sum(n,$uminus(sK9(sK12))) != cardinal(X0) )
| $less(0,$sum($sum(sK9(X0),1),$uminus(n)))
| $less(0,$sum(0,$uminus(sK9(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_48])]) ).
tff(f1103,plain,
( ! [X0: set1] :
( $less(0,$sum(sK9(sK12),$uminus(n)))
| $less(0,cardinal(X0))
| $less(0,$sum(0,$uminus(sK9(X0))))
| $less(0,$sum($sum(sK9(X0),1),$uminus(n)))
| $less(0,$sum(0,$uminus(sK9(sK12))))
| ( $sum(n,$uminus(sK9(sK12))) != cardinal(X0) ) )
| ~ spl25_36 ),
inference(resolution,[],[f891,f557]) ).
tff(f891,plain,
( ! [X0: set1] :
( ~ pre(tb2t3(tuple21(int,set2,t2tb2(sK9(sK12)),t2tb4(X0))))
| $less(0,cardinal(X0)) )
| ~ spl25_36 ),
inference(superposition,[],[f850,f420]) ).
tff(f850,plain,
( $less(0,$sum(n,$uminus(sK9(sK12))))
| ~ spl25_36 ),
inference(avatar_component_clause,[],[f848]) ).
tff(f1117,plain,
( spl25_45
| spl25_46
| spl25_47
| ~ spl25_36 ),
inference(avatar_split_clause,[],[f1104,f848,f1115,f1111,f1107]) ).
tff(f1115,plain,
( spl25_47
<=> ! [X1: set1] :
( ( cardinal(X1) != $sum(n,$uminus(sK9(sK12))) )
| $less(0,cardinal(X1))
| mem(sK9(X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_47])]) ).
tff(f1104,plain,
( ! [X1: set1] :
( ( cardinal(X1) != $sum(n,$uminus(sK9(sK12))) )
| $less(0,$sum(0,$uminus(sK9(sK12))))
| mem(sK9(X1),X1)
| $less(0,cardinal(X1))
| $less(0,$sum(sK9(sK12),$uminus(n))) )
| ~ spl25_36 ),
inference(resolution,[],[f891,f523]) ).
tff(f1045,plain,
( spl25_38
| spl25_44
| spl25_39
| ~ spl25_42 ),
inference(avatar_split_clause,[],[f1035,f1008,f994,f1043,f990]) ).
tff(f990,plain,
( spl25_38
<=> $less(0,$sum(0,$uminus(size))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_38])]) ).
tff(f1043,plain,
( spl25_44
<=> ! [X0: set1] :
( $less(0,$sum(1,$uminus(cardinal(X0))))
| ( cardinal(X0) != $sum(n,$uminus(size)) )
| $less(0,$sum($sum(sK9(X0),1),$uminus(n)))
| $less(0,$sum(0,$uminus(sK9(X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_44])]) ).
tff(f994,plain,
( spl25_39
<=> $less(0,$sum(size,$uminus(n))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_39])]) ).
tff(f1008,plain,
( spl25_42
<=> $less(0,$sum(1,$uminus($sum(n,$uminus(size))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_42])]) ).
tff(f1035,plain,
( ! [X0: set1] :
( $less(0,$sum(size,$uminus(n)))
| $less(0,$sum(1,$uminus(cardinal(X0))))
| $less(0,$sum(0,$uminus(sK9(X0))))
| $less(0,$sum(0,$uminus(size)))
| $less(0,$sum($sum(sK9(X0),1),$uminus(n)))
| ( cardinal(X0) != $sum(n,$uminus(size)) ) )
| ~ spl25_42 ),
inference(resolution,[],[f1012,f557]) ).
tff(f1012,plain,
( ! [X0: set1] :
( ~ pre(tb2t3(tuple21(int,set2,t2tb2(size),t2tb4(X0))))
| $less(0,$sum(1,$uminus(cardinal(X0)))) )
| ~ spl25_42 ),
inference(superposition,[],[f1010,f420]) ).
tff(f1010,plain,
( $less(0,$sum(1,$uminus($sum(n,$uminus(size)))))
| ~ spl25_42 ),
inference(avatar_component_clause,[],[f1008]) ).
tff(f1041,plain,
( spl25_39
| spl25_38
| spl25_43
| ~ spl25_42 ),
inference(avatar_split_clause,[],[f1036,f1008,f1039,f990,f994]) ).
tff(f1039,plain,
( spl25_43
<=> ! [X1: set1] :
( ( cardinal(X1) != $sum(n,$uminus(size)) )
| $less(0,$sum(1,$uminus(cardinal(X1))))
| mem(sK9(X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_43])]) ).
tff(f1036,plain,
( ! [X1: set1] :
( ( cardinal(X1) != $sum(n,$uminus(size)) )
| $less(0,$sum(0,$uminus(size)))
| mem(sK9(X1),X1)
| $less(0,$sum(1,$uminus(cardinal(X1))))
| $less(0,$sum(size,$uminus(n))) )
| ~ spl25_42 ),
inference(resolution,[],[f1012,f523]) ).
tff(f1011,plain,
( spl25_42
| spl25_15 ),
inference(avatar_split_clause,[],[f1005,f666,f1008]) ).
tff(f666,plain,
( spl25_15
<=> $less(0,$sum(n,$uminus(size))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_15])]) ).
tff(f1005,plain,
( $less(0,$sum(1,$uminus($sum(n,$uminus(size)))))
| spl25_15 ),
inference(evaluation,[],[f667]) ).
tff(f667,plain,
( ~ $less(0,$sum(n,$uminus(size)))
| spl25_15 ),
inference(avatar_component_clause,[],[f666]) ).
tff(f1004,plain,
( spl25_38
| spl25_41
| spl25_39
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f987,f666,f994,f1002,f990]) ).
tff(f1002,plain,
( spl25_41
<=> ! [X1: set1] :
( mem(sK9(X1),X1)
| ( cardinal(X1) != $sum(n,$uminus(size)) )
| $less(0,cardinal(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_41])]) ).
tff(f987,plain,
( ! [X1: set1] :
( $less(0,$sum(size,$uminus(n)))
| mem(sK9(X1),X1)
| $less(0,cardinal(X1))
| ( cardinal(X1) != $sum(n,$uminus(size)) )
| $less(0,$sum(0,$uminus(size))) )
| ~ spl25_15 ),
inference(resolution,[],[f742,f523]) ).
tff(f742,plain,
( ! [X0: set1] :
( ~ pre(tb2t3(tuple21(int,set2,t2tb2(size),t2tb4(X0))))
| $less(0,cardinal(X0)) )
| ~ spl25_15 ),
inference(superposition,[],[f668,f420]) ).
tff(f668,plain,
( $less(0,$sum(n,$uminus(size)))
| ~ spl25_15 ),
inference(avatar_component_clause,[],[f666]) ).
tff(f1000,plain,
( spl25_38
| spl25_39
| spl25_40
| ~ spl25_15 ),
inference(avatar_split_clause,[],[f986,f666,f998,f994,f990]) ).
tff(f998,plain,
( spl25_40
<=> ! [X0: set1] :
( $less(0,$sum(0,$uminus(sK9(X0))))
| ( cardinal(X0) != $sum(n,$uminus(size)) )
| $less(0,cardinal(X0))
| $less(0,$sum($sum(sK9(X0),1),$uminus(n))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_40])]) ).
tff(f986,plain,
( ! [X0: set1] :
( $less(0,$sum(0,$uminus(sK9(X0))))
| $less(0,$sum($sum(sK9(X0),1),$uminus(n)))
| $less(0,cardinal(X0))
| $less(0,$sum(size,$uminus(n)))
| ( cardinal(X0) != $sum(n,$uminus(size)) )
| $less(0,$sum(0,$uminus(size))) )
| ~ spl25_15 ),
inference(resolution,[],[f742,f557]) ).
tff(f920,plain,
( spl25_31
| ~ spl25_24
| ~ spl25_28 ),
inference(avatar_split_clause,[],[f919,f725,f706,f806]) ).
tff(f806,plain,
( spl25_31
<=> ! [X48: map_int_int,X49: $int] :
( ( $sum(0,sum(X48,n,X49)) = sum(X48,n,X49) )
| $less(0,$sum(n,$uminus(X49))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_31])]) ).
tff(f706,plain,
( spl25_24
<=> ! [X14: map_int_int,X15: $int] :
( $less(0,$sum(n,$uminus(X15)))
| ( sum(X14,n,X15) = $sum(sum(X14,n,n),sum(X14,n,X15)) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_24])]) ).
tff(f919,plain,
( ! [X14: map_int_int,X15: $int] :
( $less(0,$sum(n,$uminus(X15)))
| ( sum(X14,n,X15) = $sum(0,sum(X14,n,X15)) ) )
| ~ spl25_24
| ~ spl25_28 ),
inference(forward_demodulation,[],[f707,f726]) ).
tff(f707,plain,
( ! [X14: map_int_int,X15: $int] :
( ( sum(X14,n,X15) = $sum(sum(X14,n,n),sum(X14,n,X15)) )
| $less(0,$sum(n,$uminus(X15))) )
| ~ spl25_24 ),
inference(avatar_component_clause,[],[f706]) ).
tff(f914,plain,
( spl25_30
| ~ spl25_22
| ~ spl25_28 ),
inference(avatar_split_clause,[],[f913,f725,f697,f794]) ).
tff(f794,plain,
( spl25_30
<=> ! [X46: map_int_int,X47: $int] :
( $less(0,$sum(X47,$uminus(n)))
| ( sum(X46,X47,n) = $sum(sum(X46,X47,n),0) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_30])]) ).
tff(f697,plain,
( spl25_22
<=> ! [X13: $int,X12: map_int_int] :
( ( sum(X12,X13,n) = $sum(sum(X12,X13,n),sum(X12,n,n)) )
| $less(0,$sum(X13,$uminus(n))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_22])]) ).
tff(f913,plain,
( ! [X12: map_int_int,X13: $int] :
( ( sum(X12,X13,n) = $sum(sum(X12,X13,n),0) )
| $less(0,$sum(X13,$uminus(n))) )
| ~ spl25_22
| ~ spl25_28 ),
inference(forward_demodulation,[],[f698,f726]) ).
tff(f698,plain,
( ! [X12: map_int_int,X13: $int] :
( $less(0,$sum(X13,$uminus(n)))
| ( sum(X12,X13,n) = $sum(sum(X12,X13,n),sum(X12,n,n)) ) )
| ~ spl25_22 ),
inference(avatar_component_clause,[],[f697]) ).
tff(f856,plain,
( spl25_37
| spl25_35
| spl25_9 ),
inference(avatar_split_clause,[],[f846,f609,f838,f853]) ).
tff(f853,plain,
( spl25_37
<=> $less(0,$sum(n,$uminus(sK11(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_37])]) ).
tff(f838,plain,
( spl25_35
<=> ( 0 = cardinal(sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_35])]) ).
tff(f609,plain,
( spl25_9
<=> sP24(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_9])]) ).
tff(f846,plain,
( ( 0 = cardinal(sK12) )
| $less(0,$sum(n,$uminus(sK11(sK12))))
| spl25_9 ),
inference(resolution,[],[f614,f454]) ).
tff(f454,plain,
! [X0: set1] :
( mem(sK11(X0),X0)
| ( 0 = cardinal(X0) ) ),
inference(cnf_transformation,[],[f331]) ).
tff(f331,plain,
! [X0: set1] :
( ( ( 0 = cardinal(X0) )
| mem(sK11(X0),X0) )
& ( ! [X2: $int] : ~ mem(X2,X0)
| ( 0 != cardinal(X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f329,f330]) ).
tff(f330,plain,
! [X0: set1] :
( ? [X1: $int] : mem(X1,X0)
=> mem(sK11(X0),X0) ),
introduced(choice_axiom,[]) ).
tff(f329,plain,
! [X0: set1] :
( ( ( 0 = cardinal(X0) )
| ? [X1: $int] : mem(X1,X0) )
& ( ! [X2: $int] : ~ mem(X2,X0)
| ( 0 != cardinal(X0) ) ) ),
inference(rectify,[],[f328]) ).
tff(f328,plain,
! [X0: set1] :
( ( ( 0 = cardinal(X0) )
| ? [X1: $int] : mem(X1,X0) )
& ( ! [X1: $int] : ~ mem(X1,X0)
| ( 0 != cardinal(X0) ) ) ),
inference(nnf_transformation,[],[f138]) ).
tff(f138,plain,
! [X0: set1] :
( ( 0 = cardinal(X0) )
<=> ! [X1: $int] : ~ mem(X1,X0) ),
inference(rectify,[],[f32]) ).
tff(f32,axiom,
! [X13: set1] :
( ( 0 = cardinal(X13) )
<=> ! [X1: $int] : ~ mem(X1,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cardinal_empty) ).
tff(f614,plain,
( ! [X0: $int] :
( ~ mem(X0,sK12)
| $less(0,$sum(n,$uminus(X0))) )
| spl25_9 ),
inference(resolution,[],[f611,f549]) ).
tff(f549,plain,
! [X3: $int,X0: set1] :
( sP24(X0)
| $less(0,$sum(n,$uminus(X3)))
| ~ mem(X3,X0) ),
inference(evaluation,[],[f508]) ).
tff(f508,plain,
! [X3: $int,X0: set1] :
( sP24(X0)
| $less(X3,n)
| ~ mem(X3,X0) ),
inference(cnf_transformation,[],[f508_D]) ).
tff(f508_D,plain,
! [X0] :
( ! [X3] :
( $less(X3,n)
| ~ mem(X3,X0) )
<=> ~ sP24(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP24])]) ).
tff(f611,plain,
( ~ sP24(sK12)
| spl25_9 ),
inference(avatar_component_clause,[],[f609]) ).
tff(f851,plain,
( spl25_36
| spl25_33
| spl25_9 ),
inference(avatar_split_clause,[],[f845,f609,f830,f848]) ).
tff(f830,plain,
( spl25_33
<=> ! [X8: $int] :
( pre(tb2t3(tuple21(int,set2,t2tb2(X8),t2tb4(sK12))))
| $less(0,$sum(0,$uminus(X8)))
| ( $sum(n,$uminus(X8)) != cardinal(sK12) )
| $less(0,$sum(X8,$uminus(n))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_33])]) ).
tff(f845,plain,
( ! [X8: $int] :
( ( $sum(n,$uminus(X8)) != cardinal(sK12) )
| $less(0,$sum(X8,$uminus(n)))
| pre(tb2t3(tuple21(int,set2,t2tb2(X8),t2tb4(sK12))))
| $less(0,$sum(n,$uminus(sK9(sK12))))
| $less(0,$sum(0,$uminus(X8))) )
| spl25_9 ),
inference(resolution,[],[f614,f523]) ).
tff(f841,plain,
( spl25_34
| spl25_35
| spl25_8 ),
inference(avatar_split_clause,[],[f824,f604,f838,f834]) ).
tff(f834,plain,
( spl25_34
<=> $less(0,$sum(1,sK11(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_34])]) ).
tff(f604,plain,
( spl25_8
<=> sP23(sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_8])]) ).
tff(f824,plain,
( ( 0 = cardinal(sK12) )
| $less(0,$sum(1,sK11(sK12)))
| spl25_8 ),
inference(resolution,[],[f613,f454]) ).
tff(f613,plain,
( ! [X0: $int] :
( ~ mem(X0,sK12)
| $less(0,$sum(1,X0)) )
| spl25_8 ),
inference(resolution,[],[f606,f532]) ).
tff(f532,plain,
! [X3: $int,X0: set1] :
( ~ mem(X3,X0)
| sP23(X0)
| $less(0,$sum(1,X3)) ),
inference(evaluation,[],[f506]) ).
tff(f506,plain,
! [X3: $int,X0: set1] :
( ~ mem(X3,X0)
| sP23(X0)
| ~ $less(X3,0) ),
inference(cnf_transformation,[],[f506_D]) ).
tff(f506_D,plain,
! [X0] :
( ! [X3] :
( ~ mem(X3,X0)
| ~ $less(X3,0) )
<=> ~ sP23(X0) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP23])]) ).
tff(f606,plain,
( ~ sP23(sK12)
| spl25_8 ),
inference(avatar_component_clause,[],[f604]) ).
tff(f832,plain,
( spl25_32
| spl25_33
| spl25_8 ),
inference(avatar_split_clause,[],[f823,f604,f830,f826]) ).
tff(f826,plain,
( spl25_32
<=> $less(0,$sum(1,sK9(sK12))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_32])]) ).
tff(f823,plain,
( ! [X8: $int] :
( pre(tb2t3(tuple21(int,set2,t2tb2(X8),t2tb4(sK12))))
| $less(0,$sum(X8,$uminus(n)))
| ( $sum(n,$uminus(X8)) != cardinal(sK12) )
| $less(0,$sum(1,sK9(sK12)))
| $less(0,$sum(0,$uminus(X8))) )
| spl25_8 ),
inference(resolution,[],[f613,f523]) ).
tff(f808,plain,
( spl25_11
| spl25_31
| ~ spl25_6
| ~ spl25_28 ),
inference(avatar_split_clause,[],[f804,f725,f594,f806,f650]) ).
tff(f650,plain,
( spl25_11
<=> $less(0,cardinal(sK12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_11])]) ).
tff(f594,plain,
( spl25_6
<=> ( $sum(n,$uminus(n)) = cardinal(sK12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_6])]) ).
tff(f804,plain,
( ! [X48: map_int_int,X49: $int] :
( ( $sum(0,sum(X48,n,X49)) = sum(X48,n,X49) )
| $less(0,$sum(n,$uminus(X49)))
| $less(0,cardinal(sK12)) )
| ~ spl25_6
| ~ spl25_28 ),
inference(forward_demodulation,[],[f775,f596]) ).
tff(f596,plain,
( ( $sum(n,$uminus(n)) = cardinal(sK12) )
| ~ spl25_6 ),
inference(avatar_component_clause,[],[f594]) ).
tff(f775,plain,
( ! [X48: map_int_int,X49: $int] :
( $less(0,$sum(n,$uminus(n)))
| $less(0,$sum(n,$uminus(X49)))
| ( $sum(0,sum(X48,n,X49)) = sum(X48,n,X49) ) )
| ~ spl25_28 ),
inference(superposition,[],[f548,f726]) ).
tff(f548,plain,
! [X2: $int,X3: map_int_int,X0: $int,X1: $int] :
( ( $sum(sum(X3,X1,X0),sum(X3,X0,X2)) = sum(X3,X1,X2) )
| $less(0,$sum(X0,$uminus(X2)))
| $less(0,$sum(X1,$uminus(X0))) ),
inference(evaluation,[],[f387]) ).
tff(f387,plain,
! [X2: $int,X3: map_int_int,X0: $int,X1: $int] :
( ( $sum(sum(X3,X1,X0),sum(X3,X0,X2)) = sum(X3,X1,X2) )
| $less(X2,X0)
| $less(X0,X1) ),
inference(cnf_transformation,[],[f290]) ).
tff(f290,plain,
! [X0: $int,X1: $int,X2: $int,X3: map_int_int] :
( ( $sum(sum(X3,X1,X0),sum(X3,X0,X2)) = sum(X3,X1,X2) )
| $less(X2,X0)
| $less(X0,X1) ),
inference(rectify,[],[f232]) ).
tff(f232,plain,
! [X1: $int,X3: $int,X0: $int,X2: map_int_int] :
( ( $sum(sum(X2,X3,X1),sum(X2,X1,X0)) = sum(X2,X3,X0) )
| $less(X0,X1)
| $less(X1,X3) ),
inference(flattening,[],[f231]) ).
tff(f231,plain,
! [X1: $int,X0: $int,X2: map_int_int,X3: $int] :
( ( $sum(sum(X2,X3,X1),sum(X2,X1,X0)) = sum(X2,X3,X0) )
| $less(X0,X1)
| $less(X1,X3) ),
inference(ennf_transformation,[],[f199]) ).
tff(f199,plain,
! [X1: $int,X0: $int,X2: map_int_int,X3: $int] :
( ( ~ $less(X0,X1)
& ~ $less(X1,X3) )
=> ( $sum(sum(X2,X3,X1),sum(X2,X1,X0)) = sum(X2,X3,X0) ) ),
inference(rectify,[],[f116]) ).
tff(f116,plain,
! [X16: $int,X17: $int,X20: map_int_int,X15: $int] :
( ( ~ $less(X16,X17)
& ~ $less(X17,X15) )
=> ( sum(X20,X15,X16) = $sum(sum(X20,X15,X17),sum(X20,X17,X16)) ) ),
inference(theory_normalization,[],[f51]) ).
tff(f51,axiom,
! [X16: $int,X17: $int,X20: map_int_int,X15: $int] :
( ( $lesseq(X17,X16)
& $lesseq(X15,X17) )
=> ( sum(X20,X15,X16) = $sum(sum(X20,X15,X17),sum(X20,X17,X16)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_transitivity) ).
tff(f796,plain,
( spl25_11
| spl25_30
| ~ spl25_6
| ~ spl25_28 ),
inference(avatar_split_clause,[],[f792,f725,f594,f794,f650]) ).
tff(f792,plain,
( ! [X46: map_int_int,X47: $int] :
( $less(0,$sum(X47,$uminus(n)))
| $less(0,cardinal(sK12))
| ( sum(X46,X47,n) = $sum(sum(X46,X47,n),0) ) )
| ~ spl25_6
| ~ spl25_28 ),
inference(forward_demodulation,[],[f774,f596]) ).
tff(f774,plain,
( ! [X46: map_int_int,X47: $int] :
( $less(0,$sum(n,$uminus(n)))
| $less(0,$sum(X47,$uminus(n)))
| ( sum(X46,X47,n) = $sum(sum(X46,X47,n),0) ) )
| ~ spl25_28 ),
inference(superposition,[],[f548,f726]) ).
tff(f741,plain,
( spl25_12
| spl25_29
| ~ spl25_23 ),
inference(avatar_split_clause,[],[f737,f702,f739,f654]) ).
tff(f654,plain,
( spl25_12
<=> $less(0,$sum(0,$uminus(n))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_12])]) ).
tff(f739,plain,
( spl25_29
<=> ! [X4: $int] :
( sP24(below(X4))
| $less(0,$sum(0,$uminus(X4)))
| $less(0,$sum(X4,$uminus(size)))
| $less(0,$sum($sum(n,1),$uminus(X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_29])]) ).
tff(f702,plain,
( spl25_23
<=> ! [X1: set1] :
( sP24(X1)
| ~ mem(n,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_23])]) ).
tff(f737,plain,
( ! [X4: $int] :
( sP24(below(X4))
| $less(0,$sum($sum(n,1),$uminus(X4)))
| $less(0,$sum(X4,$uminus(size)))
| $less(0,$sum(0,$uminus(n)))
| $less(0,$sum(0,$uminus(X4))) )
| ~ spl25_23 ),
inference(resolution,[],[f703,f558]) ).
tff(f558,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(size)))
| $less(0,$sum($sum(X0,1),$uminus(X1)))
| $less(0,$sum(0,$uminus(X1)))
| mem(X0,below(X1))
| $less(0,$sum(0,$uminus(X0))) ),
inference(evaluation,[],[f423]) ).
tff(f423,plain,
! [X0: $int,X1: $int] :
( $less(size,X1)
| ~ $less(X0,X1)
| $less(X1,0)
| mem(X0,below(X1))
| $less(X0,0) ),
inference(cnf_transformation,[],[f311]) ).
tff(f311,plain,
! [X0: $int,X1: $int] :
( $less(size,X1)
| ( ( ( $less(X0,X1)
& ~ $less(X0,0) )
| ~ mem(X0,below(X1)) )
& ( mem(X0,below(X1))
| ~ $less(X0,X1)
| $less(X0,0) ) )
| $less(X1,0) ),
inference(flattening,[],[f310]) ).
tff(f310,plain,
! [X0: $int,X1: $int] :
( $less(size,X1)
| ( ( ( $less(X0,X1)
& ~ $less(X0,0) )
| ~ mem(X0,below(X1)) )
& ( mem(X0,below(X1))
| ~ $less(X0,X1)
| $less(X0,0) ) )
| $less(X1,0) ),
inference(nnf_transformation,[],[f244]) ).
tff(f244,plain,
! [X0: $int,X1: $int] :
( $less(size,X1)
| ( ( $less(X0,X1)
& ~ $less(X0,0) )
<=> mem(X0,below(X1)) )
| $less(X1,0) ),
inference(flattening,[],[f243]) ).
tff(f243,plain,
! [X1: $int,X0: $int] :
( ( ( $less(X0,X1)
& ~ $less(X0,0) )
<=> mem(X0,below(X1)) )
| $less(X1,0)
| $less(size,X1) ),
inference(ennf_transformation,[],[f168]) ).
tff(f168,plain,
! [X1: $int,X0: $int] :
( ( ~ $less(X1,0)
& ~ $less(size,X1) )
=> ( ( $less(X0,X1)
& ~ $less(X0,0) )
<=> mem(X0,below(X1)) ) ),
inference(rectify,[],[f107]) ).
tff(f107,plain,
! [X1: $int,X14: $int] :
( ( ~ $less(X14,0)
& ~ $less(size,X14) )
=> ( mem(X1,below(X14))
<=> ( $less(X1,X14)
& ~ $less(X1,0) ) ) ),
inference(theory_normalization,[],[f31]) ).
tff(f31,axiom,
! [X1: $int,X14: $int] :
( ( $lesseq(0,X14)
& $lesseq(X14,size) )
=> ( mem(X1,below(X14))
<=> ( $less(X1,X14)
& $lesseq(0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',below_def) ).
tff(f703,plain,
( ! [X1: set1] :
( ~ mem(n,X1)
| sP24(X1) )
| ~ spl25_23 ),
inference(avatar_component_clause,[],[f702]) ).
tff(f727,plain,
( spl25_11
| spl25_28
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f641,f594,f725,f650]) ).
tff(f641,plain,
( ! [X11: map_int_int] :
( ( 0 = sum(X11,n,n) )
| $less(0,cardinal(sK12)) )
| ~ spl25_6 ),
inference(superposition,[],[f543,f596]) ).
tff(f543,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( $less(0,$sum(X2,$uminus(X1)))
| ( 0 = sum(X0,X1,X2) ) ),
inference(evaluation,[],[f385]) ).
tff(f385,plain,
! [X2: $int,X0: map_int_int,X1: $int] :
( $less(X1,X2)
| ( 0 = sum(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f289]) ).
tff(f289,plain,
! [X0: map_int_int,X1: $int,X2: $int] :
( ( 0 = sum(X0,X1,X2) )
| $less(X1,X2) ),
inference(rectify,[],[f250]) ).
tff(f250,plain,
! [X2: map_int_int,X0: $int,X1: $int] :
( ( 0 = sum(X2,X0,X1) )
| $less(X0,X1) ),
inference(ennf_transformation,[],[f149]) ).
tff(f149,plain,
! [X2: map_int_int,X1: $int,X0: $int] :
( ~ $less(X0,X1)
=> ( 0 = sum(X2,X0,X1) ) ),
inference(rectify,[],[f99]) ).
tff(f99,plain,
! [X15: $int,X16: $int,X20: map_int_int] :
( ~ $less(X15,X16)
=> ( 0 = sum(X20,X15,X16) ) ),
inference(theory_normalization,[],[f48]) ).
tff(f48,axiom,
! [X15: $int,X16: $int,X20: map_int_int] :
( $lesseq(X16,X15)
=> ( 0 = sum(X20,X15,X16) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sum_def_empty) ).
tff(f723,plain,
( spl25_11
| spl25_19
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f642,f594,f683,f650]) ).
tff(f683,plain,
( spl25_19
<=> ( n = max(n,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_19])]) ).
tff(f642,plain,
( ( n = max(n,n) )
| $less(0,cardinal(sK12))
| ~ spl25_6 ),
inference(superposition,[],[f547,f596]) ).
tff(f547,plain,
! [X0: $int,X1: $int] :
( ( max(X0,X1) = X1 )
| $less(0,$sum(X0,$uminus(X1))) ),
inference(evaluation,[],[f475]) ).
tff(f475,plain,
! [X0: $int,X1: $int] :
( ( max(X0,X1) = X1 )
| $less(X1,X0) ),
inference(cnf_transformation,[],[f254]) ).
tff(f254,plain,
! [X0: $int,X1: $int] :
( ( max(X0,X1) = X1 )
| $less(X1,X0) ),
inference(ennf_transformation,[],[f158]) ).
tff(f158,plain,
! [X1: $int,X0: $int] :
( ~ $less(X1,X0)
=> ( max(X0,X1) = X1 ) ),
inference(rectify,[],[f103]) ).
tff(f103,plain,
! [X1: $int,X7: $int] :
( ~ $less(X7,X1)
=> ( max(X1,X7) = X7 ) ),
inference(theory_normalization,[],[f14]) ).
tff(f14,axiom,
! [X1: $int,X7: $int] :
( $lesseq(X1,X7)
=> ( max(X1,X7) = X7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_y) ).
tff(f722,plain,
( spl25_11
| spl25_25
| spl25_12
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f630,f594,f654,f710,f650]) ).
tff(f710,plain,
( spl25_25
<=> ! [X5: set1] :
( ( cardinal(sK12) != cardinal(X5) )
| mem(sK9(X5),X5)
| pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_25])]) ).
tff(f630,plain,
( ! [X3: set1] :
( $less(0,$sum(0,$uminus(n)))
| mem(sK9(X3),X3)
| ( cardinal(X3) != cardinal(sK12) )
| pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X3))))
| $less(0,cardinal(sK12)) )
| ~ spl25_6 ),
inference(superposition,[],[f523,f596]) ).
tff(f721,plain,
( spl25_11
| spl25_27
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f639,f594,f719,f650]) ).
tff(f639,plain,
( ! [X10: map_int_int] :
( ~ sP0(n,X10)
| sP19(n,X10)
| $less(0,cardinal(sK12)) )
| ~ spl25_6 ),
inference(superposition,[],[f541,f596]) ).
tff(f541,plain,
! [X0: $int,X1: map_int_int,X4: $int] :
( sP19(X4,X1)
| $less(0,$sum(X0,$uminus(X4)))
| ~ sP0(X0,X1) ),
inference(evaluation,[],[f498]) ).
tff(f498,plain,
! [X0: $int,X1: map_int_int,X4: $int] :
( sP19(X4,X1)
| $less(X4,X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f498_D]) ).
tff(f498_D,plain,
! [X1,X4] :
( ! [X0] :
( $less(X4,X0)
| ~ sP0(X0,X1) )
<=> ~ sP19(X4,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).
tff(f717,plain,
( spl25_26
| spl25_11
| spl25_7
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f637,f594,f599,f650,f715]) ).
tff(f715,plain,
( spl25_26
<=> ! [X9: map_int_int] :
( $less(0,$sum(n,$uminus(tb2t2(get(int,int,t2tb(X9),t2tb2(n))))))
| ~ solution(X9,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_26])]) ).
tff(f599,plain,
( spl25_7
<=> $less(0,$sum($sum(n,1),$uminus(n))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_7])]) ).
tff(f637,plain,
( ! [X9: map_int_int] :
( $less(0,$sum($sum(n,1),$uminus(n)))
| $less(0,cardinal(sK12))
| $less(0,$sum(n,$uminus(tb2t2(get(int,int,t2tb(X9),t2tb2(n))))))
| ~ solution(X9,n) )
| ~ spl25_6 ),
inference(superposition,[],[f534,f596]) ).
tff(f534,plain,
! [X3: $int,X0: map_int_int,X1: $int] :
( $less(0,$sum($sum(X3,1),$uminus(n)))
| $less(0,$sum(n,$uminus(tb2t2(get(int,int,t2tb(X0),t2tb2(X3))))))
| ~ solution(X0,X1)
| $less(0,$sum(X1,$uminus(X3))) ),
inference(evaluation,[],[f357]) ).
tff(f357,plain,
! [X3: $int,X0: map_int_int,X1: $int] :
( ~ $less(X3,n)
| $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X3))),n)
| ~ solution(X0,X1)
| $less(X3,X1) ),
inference(cnf_transformation,[],[f276]) ).
tff(f713,plain,
( spl25_20
| spl25_11
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f638,f594,f650,f688]) ).
tff(f688,plain,
( spl25_20
<=> ( n = min(n,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_20])]) ).
tff(f638,plain,
( $less(0,cardinal(sK12))
| ( n = min(n,n) )
| ~ spl25_6 ),
inference(superposition,[],[f538,f596]) ).
tff(f538,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ( min(X1,X0) = X1 ) ),
inference(evaluation,[],[f480]) ).
tff(f480,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| ( min(X1,X0) = X1 ) ),
inference(cnf_transformation,[],[f210]) ).
tff(f210,plain,
! [X0: $int,X1: $int] :
( ( min(X1,X0) = X1 )
| $less(X0,X1) ),
inference(ennf_transformation,[],[f166]) ).
tff(f166,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
=> ( min(X1,X0) = X1 ) ),
inference(rectify,[],[f105]) ).
tff(f105,plain,
! [X7: $int,X1: $int] :
( ~ $less(X7,X1)
=> ( min(X1,X7) = X1 ) ),
inference(theory_normalization,[],[f15]) ).
tff(f15,axiom,
! [X7: $int,X1: $int] :
( $lesseq(X1,X7)
=> ( min(X1,X7) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',min_x) ).
tff(f712,plain,
( spl25_12
| spl25_11
| spl25_25
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f632,f594,f710,f650,f654]) ).
tff(f632,plain,
( ! [X5: set1] :
( ( cardinal(sK12) != cardinal(X5) )
| $less(0,cardinal(sK12))
| pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X5))))
| mem(sK9(X5),X5)
| $less(0,$sum(0,$uminus(n))) )
| ~ spl25_6 ),
inference(superposition,[],[f523,f596]) ).
tff(f708,plain,
( spl25_11
| spl25_24
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f644,f594,f706,f650]) ).
tff(f644,plain,
( ! [X14: map_int_int,X15: $int] :
( $less(0,$sum(n,$uminus(X15)))
| $less(0,cardinal(sK12))
| ( sum(X14,n,X15) = $sum(sum(X14,n,n),sum(X14,n,X15)) ) )
| ~ spl25_6 ),
inference(superposition,[],[f548,f596]) ).
tff(f704,plain,
( spl25_11
| spl25_23
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f628,f594,f702,f650]) ).
tff(f628,plain,
( ! [X1: set1] :
( sP24(X1)
| $less(0,cardinal(sK12))
| ~ mem(n,X1) )
| ~ spl25_6 ),
inference(superposition,[],[f549,f596]) ).
tff(f700,plain,
( spl25_13
| spl25_11
| spl25_12
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f627,f594,f654,f650,f658]) ).
tff(f658,plain,
( spl25_13
<=> ! [X4: set1] :
( ( cardinal(X4) != cardinal(sK12) )
| $less(0,$sum(0,$uminus(sK9(X4))))
| $less(0,$sum($sum(sK9(X4),1),$uminus(n)))
| pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X4)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_13])]) ).
tff(f627,plain,
( ! [X0: set1] :
( $less(0,$sum(0,$uminus(n)))
| $less(0,cardinal(sK12))
| ( cardinal(X0) != cardinal(sK12) )
| $less(0,$sum(0,$uminus(sK9(X0))))
| $less(0,$sum($sum(sK9(X0),1),$uminus(n)))
| pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X0)))) )
| ~ spl25_6 ),
inference(superposition,[],[f557,f596]) ).
tff(f699,plain,
( spl25_11
| spl25_22
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f643,f594,f697,f650]) ).
tff(f643,plain,
( ! [X12: map_int_int,X13: $int] :
( ( sum(X12,X13,n) = $sum(sum(X12,X13,n),sum(X12,n,n)) )
| $less(0,$sum(X13,$uminus(n)))
| $less(0,cardinal(sK12)) )
| ~ spl25_6 ),
inference(superposition,[],[f548,f596]) ).
tff(f695,plain,
( spl25_11
| spl25_7
| spl25_21
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f634,f594,f693,f599,f650]) ).
tff(f693,plain,
( spl25_21
<=> ! [X6: map_int_int,X7: set1] :
( ~ sP1(n,X7,X6)
| $less(0,$sum(0,$uminus(sum(X6,n,n))))
| sP2(sum(X6,n,n),n,X6,X7)
| mem(tb2t2(get(int,int,t2tb(sK6(sum(X6,n,n),n,X7)),t2tb2(n))),X7)
| ~ solution(X6,n) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_21])]) ).
tff(f634,plain,
( ! [X6: map_int_int,X7: set1] :
( ~ sP1(n,X7,X6)
| $less(0,$sum($sum(n,1),$uminus(n)))
| ~ solution(X6,n)
| $less(0,cardinal(sK12))
| mem(tb2t2(get(int,int,t2tb(sK6(sum(X6,n,n),n,X7)),t2tb2(n))),X7)
| sP2(sum(X6,n,n),n,X6,X7)
| $less(0,$sum(0,$uminus(sum(X6,n,n)))) )
| ~ spl25_6 ),
inference(superposition,[],[f525,f596]) ).
tff(f525,plain,
! [X2: map_int_int,X3: set1,X1: $int,X5: $int] :
( $less(0,$sum(X1,$uminus(X5)))
| $less(0,$sum($sum(X5,1),$uminus(n)))
| ~ solution(X2,X1)
| $less(0,$sum(0,$uminus(sum(X2,X1,n))))
| mem(tb2t2(get(int,int,t2tb(sK6(sum(X2,X1,n),X1,X3)),t2tb2(X5))),X3)
| sP2(sum(X2,X1,n),X1,X2,X3)
| ~ sP1(X1,X3,X2) ),
inference(evaluation,[],[f495]) ).
tff(f495,plain,
! [X2: map_int_int,X3: set1,X1: $int,X5: $int] :
( $less(X5,X1)
| ~ $less(X5,n)
| ~ solution(X2,X1)
| $less(sum(X2,X1,n),0)
| mem(tb2t2(get(int,int,t2tb(sK6(sum(X2,X1,n),X1,X3)),t2tb2(X5))),X3)
| sP2(sum(X2,X1,n),X1,X2,X3)
| ~ sP1(X1,X3,X2) ),
inference(equality_resolution,[],[f402]) ).
tff(f402,plain,
! [X2: map_int_int,X3: set1,X0: $int,X1: $int,X5: $int] :
( sP2(X0,X1,X2,X3)
| ( sum(X2,X1,n) != X0 )
| ~ solution(X2,X1)
| $less(X0,0)
| ~ $less(X5,n)
| $less(X5,X1)
| mem(tb2t2(get(int,int,t2tb(sK6(X0,X1,X3)),t2tb2(X5))),X3)
| ~ sP1(X1,X3,X2) ),
inference(cnf_transformation,[],[f297]) ).
tff(f691,plain,
( spl25_20
| spl25_11
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f645,f594,f650,f688]) ).
tff(f645,plain,
( $less(0,cardinal(sK12))
| ( n = min(n,n) )
| ~ spl25_6 ),
inference(superposition,[],[f553,f596]) ).
tff(f553,plain,
! [X0: $int,X1: $int] :
( $less(0,$sum(X1,$uminus(X0)))
| ( min(X0,X1) = X1 ) ),
inference(evaluation,[],[f384]) ).
tff(f384,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| ( min(X0,X1) = X1 ) ),
inference(cnf_transformation,[],[f245]) ).
tff(f245,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| ( min(X0,X1) = X1 ) ),
inference(ennf_transformation,[],[f160]) ).
tff(f160,plain,
! [X0: $int,X1: $int] :
( ~ $less(X0,X1)
=> ( min(X0,X1) = X1 ) ),
inference(rectify,[],[f104]) ).
tff(f104,plain,
! [X1: $int,X7: $int] :
( ~ $less(X1,X7)
=> ( min(X1,X7) = X7 ) ),
inference(theory_normalization,[],[f16]) ).
tff(f16,axiom,
! [X1: $int,X7: $int] :
( $lesseq(X7,X1)
=> ( min(X1,X7) = X7 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',min_y) ).
tff(f686,plain,
( spl25_19
| spl25_11
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f647,f594,f650,f683]) ).
tff(f647,plain,
( $less(0,cardinal(sK12))
| ( n = max(n,n) )
| ~ spl25_6 ),
inference(superposition,[],[f556,f596]) ).
tff(f556,plain,
! [X0: $int,X1: $int] :
( ( max(X0,X1) = X0 )
| $less(0,$sum(X1,$uminus(X0))) ),
inference(evaluation,[],[f435]) ).
tff(f435,plain,
! [X0: $int,X1: $int] :
( ( max(X0,X1) = X0 )
| $less(X0,X1) ),
inference(cnf_transformation,[],[f319]) ).
tff(f319,plain,
! [X0: $int,X1: $int] :
( $less(X0,X1)
| ( max(X0,X1) = X0 ) ),
inference(rectify,[],[f246]) ).
tff(f246,plain,
! [X1: $int,X0: $int] :
( $less(X1,X0)
| ( max(X1,X0) = X1 ) ),
inference(ennf_transformation,[],[f180]) ).
tff(f180,plain,
! [X0: $int,X1: $int] :
( ~ $less(X1,X0)
=> ( max(X1,X0) = X1 ) ),
inference(rectify,[],[f109]) ).
tff(f109,plain,
! [X7: $int,X1: $int] :
( ~ $less(X1,X7)
=> ( max(X1,X7) = X1 ) ),
inference(theory_normalization,[],[f13]) ).
tff(f13,axiom,
! [X7: $int,X1: $int] :
( $lesseq(X7,X1)
=> ( max(X1,X7) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',max_x) ).
tff(f681,plain,
( spl25_18
| spl25_7
| spl25_11
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f648,f594,f650,f599,f679]) ).
tff(f679,plain,
( spl25_18
<=> ! [X18: map_int_int,X17: set1] :
( mem(tb2t2(get(int,int,t2tb(X18),t2tb2(n))),X17)
| ~ sP1(n,X17,X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_18])]) ).
tff(f648,plain,
( ! [X18: map_int_int,X17: set1] :
( $less(0,cardinal(sK12))
| $less(0,$sum($sum(n,1),$uminus(n)))
| mem(tb2t2(get(int,int,t2tb(X18),t2tb2(n))),X17)
| ~ sP1(n,X17,X18) )
| ~ spl25_6 ),
inference(superposition,[],[f559,f596]) ).
tff(f559,plain,
! [X2: map_int_int,X0: $int,X1: set1,X4: $int] :
( $less(0,$sum($sum(X4,1),$uminus(n)))
| $less(0,$sum(X0,$uminus(X4)))
| ~ sP1(X0,X1,X2)
| mem(tb2t2(get(int,int,t2tb(X2),t2tb2(X4))),X1) ),
inference(evaluation,[],[f403]) ).
tff(f403,plain,
! [X2: map_int_int,X0: $int,X1: set1,X4: $int] :
( ~ $less(X4,n)
| $less(X4,X0)
| ~ sP1(X0,X1,X2)
| mem(tb2t2(get(int,int,t2tb(X2),t2tb2(X4))),X1) ),
inference(cnf_transformation,[],[f301]) ).
tff(f677,plain,
( spl25_11
| spl25_7
| spl25_17
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f635,f594,f675,f599,f650]) ).
tff(f675,plain,
( spl25_17
<=> ! [X8: map_int_int] :
( ~ solution(X8,n)
| $less(0,$sum(1,tb2t2(get(int,int,t2tb(X8),t2tb2(n))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_17])]) ).
tff(f635,plain,
( ! [X8: map_int_int] :
( ~ solution(X8,n)
| $less(0,$sum($sum(n,1),$uminus(n)))
| $less(0,cardinal(sK12))
| $less(0,$sum(1,tb2t2(get(int,int,t2tb(X8),t2tb2(n))))) )
| ~ spl25_6 ),
inference(superposition,[],[f527,f596]) ).
tff(f527,plain,
! [X3: $int,X0: map_int_int,X1: $int] :
( $less(0,$sum(X1,$uminus(X3)))
| $less(0,$sum($sum(X3,1),$uminus(n)))
| $less(0,$sum(1,tb2t2(get(int,int,t2tb(X0),t2tb2(X3)))))
| ~ solution(X0,X1) ),
inference(evaluation,[],[f358]) ).
tff(f358,plain,
! [X3: $int,X0: map_int_int,X1: $int] :
( $less(X3,X1)
| ~ $less(X3,n)
| ~ $less(tb2t2(get(int,int,t2tb(X0),t2tb2(X3))),0)
| ~ solution(X0,X1) ),
inference(cnf_transformation,[],[f276]) ).
tff(f673,plain,
( spl25_11
| spl25_12
| spl25_15
| ~ spl25_16
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f636,f594,f670,f666,f654,f650]) ).
tff(f670,plain,
( spl25_16
<=> mem(n,below(n)) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_16])]) ).
tff(f636,plain,
( ~ mem(n,below(n))
| $less(0,$sum(n,$uminus(size)))
| $less(0,$sum(0,$uminus(n)))
| $less(0,cardinal(sK12))
| ~ spl25_6 ),
inference(superposition,[],[f529,f596]) ).
tff(f529,plain,
! [X0: $int,X1: $int] :
( ~ mem(X0,below(X1))
| $less(0,$sum(0,$uminus(X1)))
| $less(0,$sum(X1,$uminus(size)))
| $less(0,$sum(X1,$uminus(X0))) ),
inference(evaluation,[],[f425]) ).
tff(f425,plain,
! [X0: $int,X1: $int] :
( ~ mem(X0,below(X1))
| $less(X1,0)
| $less(size,X1)
| $less(X0,X1) ),
inference(cnf_transformation,[],[f311]) ).
tff(f664,plain,
( spl25_14
| spl25_11
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f646,f594,f650,f662]) ).
tff(f662,plain,
( spl25_14
<=> ! [X16: $int] :
( $less(0,$sum($sum($product(n,X16),1),$uminus($product(n,X16))))
| $less(0,$sum(0,$uminus(X16))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_14])]) ).
tff(f646,plain,
( ! [X16: $int] :
( $less(0,cardinal(sK12))
| $less(0,$sum($sum($product(n,X16),1),$uminus($product(n,X16))))
| $less(0,$sum(0,$uminus(X16))) )
| ~ spl25_6 ),
inference(superposition,[],[f555,f596]) ).
tff(f555,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(0,$sum(X0,$uminus(X2)))
| $less(0,$sum($sum($product(X2,X1),1),$uminus($product(X0,X1))))
| $less(0,$sum(0,$uminus(X1))) ),
inference(evaluation,[],[f446]) ).
tff(f446,plain,
! [X2: $int,X0: $int,X1: $int] :
( $less(X2,X0)
| ~ $less($product(X2,X1),$product(X0,X1))
| $less(X1,0) ),
inference(cnf_transformation,[],[f326]) ).
tff(f326,plain,
! [X0: $int,X1: $int,X2: $int] :
( $less(X2,X0)
| $less(X1,0)
| ~ $less($product(X2,X1),$product(X0,X1)) ),
inference(rectify,[],[f248]) ).
tff(f248,plain,
! [X1: $int,X2: $int,X0: $int] :
( $less(X0,X1)
| $less(X2,0)
| ~ $less($product(X0,X2),$product(X1,X2)) ),
inference(flattening,[],[f247]) ).
tff(f247,plain,
! [X1: $int,X2: $int,X0: $int] :
( ~ $less($product(X0,X2),$product(X1,X2))
| $less(X2,0)
| $less(X0,X1) ),
inference(ennf_transformation,[],[f195]) ).
tff(f195,plain,
! [X1: $int,X2: $int,X0: $int] :
( ~ $less(X0,X1)
=> ( ~ $less(X2,0)
=> ~ $less($product(X0,X2),$product(X1,X2)) ) ),
inference(rectify,[],[f115]) ).
tff(f115,plain,
! [X7: $int,X1: $int,X4: $int] :
( ~ $less(X7,X1)
=> ( ~ $less(X4,0)
=> ~ $less($product(X7,X4),$product(X1,X4)) ) ),
inference(theory_normalization,[],[f8]) ).
tff(f8,axiom,
! [X7: $int,X1: $int,X4: $int] :
( $lesseq(X1,X7)
=> ( $lesseq(0,X4)
=> $lesseq($product(X1,X4),$product(X7,X4)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compatOrderMult) ).
tff(f660,plain,
( spl25_11
| spl25_12
| spl25_13
| ~ spl25_6 ),
inference(avatar_split_clause,[],[f631,f594,f658,f654,f650]) ).
tff(f631,plain,
( ! [X4: set1] :
( ( cardinal(X4) != cardinal(sK12) )
| pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(X4))))
| $less(0,$sum($sum(sK9(X4),1),$uminus(n)))
| $less(0,$sum(0,$uminus(sK9(X4))))
| $less(0,$sum(0,$uminus(n)))
| $less(0,cardinal(sK12)) )
| ~ spl25_6 ),
inference(superposition,[],[f557,f596]) ).
tff(f622,plain,
( ~ spl25_10
| ~ spl25_2
| spl25_4 ),
inference(avatar_split_clause,[],[f617,f578,f568,f619]) ).
tff(f568,plain,
( spl25_2
<=> ( n = sK13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_2])]) ).
tff(f578,plain,
( spl25_4
<=> post(tb2t3(tuple21(int,set2,t2tb2(sK13),t2tb4(sK12))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_4])]) ).
tff(f617,plain,
( ~ post(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK12))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| ~ spl25_2
| spl25_4 ),
inference(forward_demodulation,[],[f580,f570]) ).
tff(f570,plain,
( ( n = sK13 )
| ~ spl25_2 ),
inference(avatar_component_clause,[],[f568]) ).
tff(f580,plain,
( ~ post(tb2t3(tuple21(int,set2,t2tb2(sK13),t2tb4(sK12))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| spl25_4 ),
inference(avatar_component_clause,[],[f578]) ).
tff(f612,plain,
( ~ spl25_9
| ~ spl25_5 ),
inference(avatar_split_clause,[],[f589,f584,f609]) ).
tff(f584,plain,
( spl25_5
<=> pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_5])]) ).
tff(f589,plain,
( ~ sP24(sK12)
| ~ spl25_5 ),
inference(resolution,[],[f586,f509]) ).
tff(f509,plain,
! [X0: set1,X1: $int] :
( ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ~ sP24(X0) ),
inference(general_splitting,[],[f416,f508_D]) ).
tff(f416,plain,
! [X3: $int,X0: set1,X1: $int] :
( ~ mem(X3,X0)
| $less(X3,n)
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ),
inference(cnf_transformation,[],[f309]) ).
tff(f586,plain,
( pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK12))))
| ~ spl25_5 ),
inference(avatar_component_clause,[],[f584]) ).
tff(f607,plain,
( ~ spl25_8
| ~ spl25_5 ),
inference(avatar_split_clause,[],[f588,f584,f604]) ).
tff(f588,plain,
( ~ sP23(sK12)
| ~ spl25_5 ),
inference(resolution,[],[f586,f507]) ).
tff(f507,plain,
! [X0: set1,X1: $int] :
( ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
| ~ sP23(X0) ),
inference(general_splitting,[],[f417,f506_D]) ).
tff(f417,plain,
! [X3: $int,X0: set1,X1: $int] :
( ~ mem(X3,X0)
| ~ $less(X3,0)
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ),
inference(cnf_transformation,[],[f309]) ).
tff(f602,plain,
( spl25_7
| ~ spl25_5 ),
inference(avatar_split_clause,[],[f591,f584,f599]) ).
tff(f591,plain,
( $less(0,$sum($sum(n,1),$uminus(n)))
| ~ spl25_5 ),
inference(resolution,[],[f586,f530]) ).
tff(f530,plain,
! [X0: set1,X1: $int] :
( $less(0,$sum($sum(n,1),$uminus(X1)))
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ),
inference(evaluation,[],[f419]) ).
tff(f419,plain,
! [X0: set1,X1: $int] :
( ~ $less(n,X1)
| ~ pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0)))) ),
inference(cnf_transformation,[],[f309]) ).
tff(f597,plain,
( spl25_6
| ~ spl25_5 ),
inference(avatar_split_clause,[],[f590,f584,f594]) ).
tff(f590,plain,
( ( $sum(n,$uminus(n)) = cardinal(sK12) )
| ~ spl25_5 ),
inference(resolution,[],[f586,f420]) ).
tff(f587,plain,
( spl25_5
| ~ spl25_1
| ~ spl25_2 ),
inference(avatar_split_clause,[],[f582,f568,f563,f584]) ).
tff(f563,plain,
( spl25_1
<=> pre(tb2t3(tuple21(int,set2,t2tb2(sK13),t2tb4(sK12)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_1])]) ).
tff(f582,plain,
( pre(tb2t3(tuple21(int,set2,t2tb2(n),t2tb4(sK12))))
| ~ spl25_1
| ~ spl25_2 ),
inference(forward_demodulation,[],[f565,f570]) ).
tff(f565,plain,
( pre(tb2t3(tuple21(int,set2,t2tb2(sK13),t2tb4(sK12))))
| ~ spl25_1 ),
inference(avatar_component_clause,[],[f563]) ).
tff(f581,plain,
( ~ spl25_4
| ~ spl25_3 ),
inference(avatar_split_clause,[],[f466,f573,f578]) ).
tff(f573,plain,
( spl25_3
<=> inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK14)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl25_3])]) ).
tff(f466,plain,
( ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK14))))
| ~ post(tb2t3(tuple21(int,set2,t2tb2(sK13),t2tb4(sK12))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) ),
inference(cnf_transformation,[],[f338]) ).
tff(f338,plain,
( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK14))))
& ( ~ post(tb2t3(tuple21(int,set2,t2tb2(sK13),t2tb4(sK12))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK14)))) )
& pre(tb2t3(tuple21(int,set2,t2tb2(sK13),t2tb4(sK12))))
& ( n = sK13 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13,sK14])],[f336,f337]) ).
tff(f337,plain,
( ? [X0: set1,X1: $int,X2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
& ( ~ post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) )
& pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
& ( n = X1 ) )
=> ( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK14))))
& ( ~ post(tb2t3(tuple21(int,set2,t2tb2(sK13),t2tb4(sK12))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK14)))) )
& pre(tb2t3(tuple21(int,set2,t2tb2(sK13),t2tb4(sK12))))
& ( n = sK13 ) ) ),
introduced(choice_axiom,[]) ).
tff(f336,plain,
? [X0: set1,X1: $int,X2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
& ( ~ post(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) )
& pre(tb2t3(tuple21(int,set2,t2tb2(X1),t2tb4(X0))))
& ( n = X1 ) ),
inference(rectify,[],[f257]) ).
tff(f257,plain,
? [X1: set1,X0: $int,X2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
& ( ~ post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) )
& pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))
& ( n = X0 ) ),
inference(flattening,[],[f256]) ).
tff(f256,plain,
? [X1: set1,X0: $int,X2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ( ~ post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0)))))
| ~ inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) )
& ( n = X0 )
& pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))
& inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) ),
inference(ennf_transformation,[],[f120]) ).
tff(f120,plain,
~ ! [X1: set1,X0: $int,X2: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ( pre(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))))
& inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2)))) )
=> ( ( n = X0 )
=> ( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X2))))
& post(tb2t3(tuple21(int,set2,t2tb2(X0),t2tb4(X1))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) ) ) ),
inference(rectify,[],[f97]) ).
tff(f97,negated_conjecture,
~ ! [X15: $int,X20: set1,X29: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X29))))
& pre(tb2t3(tuple21(int,set2,t2tb2(X15),t2tb4(X20)))) )
=> ( ( n = X15 )
=> ( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X29))))
& post(tb2t3(tuple21(int,set2,t2tb2(X15),t2tb4(X20))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) ) ) ),
inference(negated_conjecture,[],[f96]) ).
tff(f96,conjecture,
! [X15: $int,X20: set1,X29: map_lpintcm_setrp_lpoption_lpintcm_map_int_intrprp] :
( ( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X29))))
& pre(tb2t3(tuple21(int,set2,t2tb2(X15),t2tb4(X20)))) )
=> ( ( n = X15 )
=> ( inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(X29))))
& post(tb2t3(tuple21(int,set2,t2tb2(X15),t2tb4(X20))),tb2t5(tuple21(int,map(int,int),t2tb2(0),const(int,int,t2tb2(0))))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_maximum) ).
tff(f576,plain,
spl25_3,
inference(avatar_split_clause,[],[f467,f573]) ).
tff(f467,plain,
inv(tb2t7(mk_t(tuple2(int,map(int,int)),tuple2(int,set2),t2tb8(sK14)))),
inference(cnf_transformation,[],[f338]) ).
tff(f571,plain,
spl25_2,
inference(avatar_split_clause,[],[f464,f568]) ).
tff(f464,plain,
n = sK13,
inference(cnf_transformation,[],[f338]) ).
tff(f566,plain,
spl25_1,
inference(avatar_split_clause,[],[f465,f563]) ).
tff(f465,plain,
pre(tb2t3(tuple21(int,set2,t2tb2(sK13),t2tb4(sK12)))),
inference(cnf_transformation,[],[f338]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW617=2 : TPTP v8.1.0. Released v6.1.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 20:41:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.54 % (14673)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.54 % (14677)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/32Mi)
% 0.19/0.54 % (14673)Instruction limit reached!
% 0.19/0.54 % (14673)------------------------------
% 0.19/0.54 % (14673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (14673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (14673)Termination reason: Unknown
% 0.19/0.54 % (14673)Termination phase: Preprocessing 3
% 0.19/0.54
% 0.19/0.54 % (14673)Memory used [KB]: 1279
% 0.19/0.54 % (14673)Time elapsed: 0.007 s
% 0.19/0.54 % (14673)Instructions burned: 8 (million)
% 0.19/0.54 % (14673)------------------------------
% 0.19/0.54 % (14673)------------------------------
% 0.19/0.55 % (14689)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.56 % (14686)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.57 % (14686)Instruction limit reached!
% 0.19/0.57 % (14686)------------------------------
% 0.19/0.57 % (14686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (14686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (14686)Termination reason: Unknown
% 0.19/0.57 % (14686)Termination phase: Property scanning
% 0.19/0.57
% 0.19/0.57 % (14686)Memory used [KB]: 1023
% 0.19/0.57 % (14686)Time elapsed: 0.006 s
% 0.19/0.57 % (14686)Instructions burned: 2 (million)
% 0.19/0.57 % (14686)------------------------------
% 0.19/0.57 % (14686)------------------------------
% 0.19/0.57 % (14677)Refutation not found, incomplete strategy% (14677)------------------------------
% 0.19/0.57 % (14677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57 % (14678)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.19/0.57 % (14693)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.57 % (14677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57 % (14677)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57
% 0.19/0.57 % (14677)Memory used [KB]: 5884
% 0.19/0.57 % (14677)Time elapsed: 0.143 s
% 0.19/0.57 % (14677)Instructions burned: 13 (million)
% 0.19/0.57 % (14677)------------------------------
% 0.19/0.57 % (14677)------------------------------
% 0.19/0.58 % (14681)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.19/0.58 % (14685)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.58 % (14689)Instruction limit reached!
% 0.19/0.58 % (14689)------------------------------
% 0.19/0.58 % (14689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (14689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (14689)Termination reason: Unknown
% 0.19/0.58 % (14689)Termination phase: Saturation
% 0.19/0.58
% 0.19/0.58 % (14689)Memory used [KB]: 5884
% 0.19/0.58 % (14689)Time elapsed: 0.014 s
% 0.19/0.58 % (14689)Instructions burned: 16 (million)
% 0.19/0.58 % (14689)------------------------------
% 0.19/0.58 % (14689)------------------------------
% 0.19/0.59 % (14688)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.59 % (14694)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.59 % (14679)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 1.67/0.60 % (14699)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 1.67/0.60 % (14697)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.67/0.60 % (14676)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.67/0.60 % (14674)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.67/0.60 % (14674)Instruction limit reached!
% 1.67/0.60 % (14674)------------------------------
% 1.67/0.60 % (14674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.60 % (14674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.60 % (14674)Termination reason: Unknown
% 1.67/0.60 % (14674)Termination phase: Property scanning
% 1.67/0.60
% 1.67/0.60 % (14674)Memory used [KB]: 1023
% 1.67/0.60 % (14674)Time elapsed: 0.003 s
% 1.67/0.60 % (14674)Instructions burned: 3 (million)
% 1.67/0.60 % (14674)------------------------------
% 1.67/0.60 % (14674)------------------------------
% 1.67/0.60 % (14675)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.67/0.61 % (14671)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59848Mi)
% 1.67/0.61 % (14672)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.67/0.61 % (14680)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.67/0.61 % (14680)Instruction limit reached!
% 1.67/0.61 % (14680)------------------------------
% 1.67/0.61 % (14680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.61 % (14680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.61 % (14680)Termination reason: Unknown
% 1.67/0.61 % (14680)Termination phase: Property scanning
% 1.67/0.61
% 1.67/0.61 % (14680)Memory used [KB]: 1023
% 1.67/0.61 % (14680)Time elapsed: 0.003 s
% 1.67/0.61 % (14680)Instructions burned: 2 (million)
% 1.67/0.61 % (14680)------------------------------
% 1.67/0.61 % (14680)------------------------------
% 1.67/0.62 % (14682)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 2.02/0.62 % (14692)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 2.02/0.62 % (14700)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/41Mi)
% 2.02/0.62 % (14690)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.02/0.63 % (14676)Instruction limit reached!
% 2.02/0.63 % (14676)------------------------------
% 2.02/0.63 % (14676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.63 % (14676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.63 % (14676)Termination reason: Unknown
% 2.02/0.63 % (14676)Termination phase: Saturation
% 2.02/0.63
% 2.02/0.63 % (14676)Memory used [KB]: 5756
% 2.02/0.63 % (14676)Time elapsed: 0.012 s
% 2.02/0.63 % (14676)Instructions burned: 15 (million)
% 2.02/0.63 % (14676)------------------------------
% 2.02/0.63 % (14676)------------------------------
% 2.02/0.63 % (14690)Instruction limit reached!
% 2.02/0.63 % (14690)------------------------------
% 2.02/0.63 % (14690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.63 % (14690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.63 % (14690)Termination reason: Unknown
% 2.02/0.63 % (14690)Termination phase: shuffling
% 2.02/0.63
% 2.02/0.63 % (14690)Memory used [KB]: 1023
% 2.02/0.63 % (14690)Time elapsed: 0.004 s
% 2.02/0.63 % (14690)Instructions burned: 2 (million)
% 2.02/0.63 % (14690)------------------------------
% 2.02/0.63 % (14690)------------------------------
% 2.02/0.63 % (14682)Instruction limit reached!
% 2.02/0.63 % (14682)------------------------------
% 2.02/0.63 % (14682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.63 % (14684)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 2.02/0.63 % (14682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.63 % (14682)Termination reason: Unknown
% 2.02/0.63 % (14682)Termination phase: Property scanning
% 2.02/0.63
% 2.02/0.63 % (14682)Memory used [KB]: 1023
% 2.02/0.63 % (14682)Time elapsed: 0.005 s
% 2.02/0.63 % (14682)Instructions burned: 5 (million)
% 2.02/0.63 % (14682)------------------------------
% 2.02/0.63 % (14682)------------------------------
% 2.02/0.63 % (14683)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.02/0.63 % (14683)Instruction limit reached!
% 2.02/0.63 % (14683)------------------------------
% 2.02/0.63 % (14683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.63 % (14683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.63 % (14683)Termination reason: Unknown
% 2.02/0.63 % (14683)Termination phase: Property scanning
% 2.02/0.63
% 2.02/0.63 % (14683)Memory used [KB]: 1023
% 2.02/0.63 % (14683)Time elapsed: 0.003 s
% 2.02/0.63 % (14683)Instructions burned: 3 (million)
% 2.02/0.63 % (14683)------------------------------
% 2.02/0.63 % (14683)------------------------------
% 2.02/0.64 % (14695)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/47Mi)
% 2.02/0.64 % (14687)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.02/0.64 % (14687)Instruction limit reached!
% 2.02/0.64 % (14687)------------------------------
% 2.02/0.64 % (14687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64 % (14687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64 % (14687)Termination reason: Unknown
% 2.02/0.64 % (14687)Termination phase: shuffling
% 2.02/0.64
% 2.02/0.64 % (14687)Memory used [KB]: 1023
% 2.02/0.64 % (14687)Time elapsed: 0.002 s
% 2.02/0.64 % (14687)Instructions burned: 2 (million)
% 2.02/0.64 % (14687)------------------------------
% 2.02/0.64 % (14687)------------------------------
% 2.02/0.64 % (14691)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 2.02/0.64 % (14699)Instruction limit reached!
% 2.02/0.64 % (14699)------------------------------
% 2.02/0.64 % (14699)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64 % (14699)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64 % (14699)Termination reason: Unknown
% 2.02/0.64 % (14699)Termination phase: Saturation
% 2.02/0.64
% 2.02/0.64 % (14699)Memory used [KB]: 5884
% 2.02/0.64 % (14699)Time elapsed: 0.223 s
% 2.02/0.64 % (14699)Instructions burned: 22 (million)
% 2.02/0.64 % (14699)------------------------------
% 2.02/0.64 % (14699)------------------------------
% 2.02/0.64 % (14696)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 2.02/0.64 % (14679)Instruction limit reached!
% 2.02/0.64 % (14679)------------------------------
% 2.02/0.64 % (14679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64 % (14679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64 % (14679)Termination reason: Unknown
% 2.02/0.64 % (14679)Termination phase: Saturation
% 2.02/0.64
% 2.02/0.64 % (14679)Memory used [KB]: 6140
% 2.02/0.64 % (14679)Time elapsed: 0.216 s
% 2.02/0.64 % (14679)Instructions burned: 26 (million)
% 2.02/0.64 % (14679)------------------------------
% 2.02/0.64 % (14679)------------------------------
% 2.02/0.65 % (14678)Instruction limit reached!
% 2.02/0.65 % (14678)------------------------------
% 2.02/0.65 % (14678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.65 % (14678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.65 % (14678)Termination reason: Unknown
% 2.02/0.65 % (14678)Termination phase: Saturation
% 2.02/0.65 % (14698)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 2.02/0.66 % (14693)Instruction limit reached!
% 2.02/0.66 % (14693)------------------------------
% 2.02/0.66 % (14693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.66 % (14681)Instruction limit reached!
% 2.02/0.66 % (14681)------------------------------
% 2.02/0.66 % (14681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.67 % (14693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.67 % (14693)Termination reason: Unknown
% 2.02/0.67 % (14693)Termination phase: Saturation
% 2.02/0.67
% 2.02/0.67 % (14693)Memory used [KB]: 1918
% 2.02/0.67 % (14693)Time elapsed: 0.224 s
% 2.02/0.67 % (14693)Instructions burned: 46 (million)
% 2.02/0.67 % (14693)------------------------------
% 2.02/0.67 % (14693)------------------------------
% 2.02/0.67
% 2.02/0.67 % (14681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.67 % (14681)Termination reason: Unknown
% 2.02/0.67 % (14681)Termination phase: Saturation
% 2.02/0.67
% 2.02/0.67 % (14681)Memory used [KB]: 6268
% 2.02/0.67 % (14681)Time elapsed: 0.251 s
% 2.02/0.67 % (14681)Instructions burned: 35 (million)
% 2.02/0.67 % (14681)------------------------------
% 2.02/0.67 % (14681)------------------------------
% 2.02/0.67 % (14678)Memory used [KB]: 6140
% 2.02/0.67 % (14678)Time elapsed: 0.161 s
% 2.02/0.67 % (14678)Instructions burned: 36 (million)
% 2.02/0.67 % (14678)------------------------------
% 2.02/0.67 % (14678)------------------------------
% 2.02/0.67 % (14691)Instruction limit reached!
% 2.02/0.67 % (14691)------------------------------
% 2.02/0.67 % (14691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.67 % (14691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.67 % (14691)Termination reason: Unknown
% 2.02/0.67 % (14691)Termination phase: Saturation
% 2.02/0.67
% 2.02/0.67 % (14691)Memory used [KB]: 1407
% 2.02/0.67 % (14691)Time elapsed: 0.013 s
% 2.02/0.67 % (14691)Instructions burned: 16 (million)
% 2.02/0.67 % (14691)------------------------------
% 2.02/0.67 % (14691)------------------------------
% 2.02/0.67 % (14692)Instruction limit reached!
% 2.02/0.67 % (14692)------------------------------
% 2.02/0.67 % (14692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.67 % (14692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.67 % (14692)Termination reason: Unknown
% 2.02/0.67 % (14692)Termination phase: Saturation
% 2.02/0.67
% 2.02/0.67 % (14692)Memory used [KB]: 5884
% 2.02/0.67 % (14692)Time elapsed: 0.255 s
% 2.02/0.67 % (14692)Instructions burned: 22 (million)
% 2.02/0.67 % (14692)------------------------------
% 2.02/0.67 % (14692)------------------------------
% 2.02/0.68 % (14685)Instruction limit reached!
% 2.02/0.68 % (14685)------------------------------
% 2.02/0.68 % (14685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.68 % (14685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.68 % (14685)Termination reason: Unknown
% 2.02/0.68 % (14685)Termination phase: Saturation
% 2.02/0.68
% 2.02/0.68 % (14685)Memory used [KB]: 6908
% 2.02/0.68 % (14685)Time elapsed: 0.232 s
% 2.02/0.68 % (14685)Instructions burned: 50 (million)
% 2.02/0.68 % (14685)------------------------------
% 2.02/0.68 % (14685)------------------------------
% 2.45/0.68 % (14684)Instruction limit reached!
% 2.45/0.68 % (14684)------------------------------
% 2.45/0.68 % (14684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.68 % (14684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.68 % (14684)Termination reason: Unknown
% 2.45/0.68 % (14684)Termination phase: Saturation
% 2.45/0.68
% 2.45/0.68 % (14684)Memory used [KB]: 5884
% 2.45/0.68 % (14684)Time elapsed: 0.264 s
% 2.45/0.68 % (14684)Instructions burned: 21 (million)
% 2.45/0.68 % (14684)------------------------------
% 2.45/0.68 % (14684)------------------------------
% 2.45/0.69 % (14672)Instruction limit reached!
% 2.45/0.69 % (14672)------------------------------
% 2.45/0.69 % (14672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.69 % (14672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.69 % (14672)Termination reason: Unknown
% 2.45/0.69 % (14672)Termination phase: Saturation
% 2.45/0.69
% 2.45/0.69 % (14672)Memory used [KB]: 6140
% 2.45/0.69 % (14672)Time elapsed: 0.258 s
% 2.45/0.69 % (14672)Instructions burned: 34 (million)
% 2.45/0.69 % (14672)------------------------------
% 2.45/0.69 % (14672)------------------------------
% 2.45/0.70 % (14700)Instruction limit reached!
% 2.45/0.70 % (14700)------------------------------
% 2.45/0.70 % (14700)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.70 % (14700)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.70 % (14700)Termination reason: Unknown
% 2.45/0.70 % (14700)Termination phase: Saturation
% 2.45/0.70
% 2.45/0.70 % (14700)Memory used [KB]: 6396
% 2.45/0.70 % (14700)Time elapsed: 0.276 s
% 2.45/0.70 % (14700)Instructions burned: 42 (million)
% 2.45/0.70 % (14700)------------------------------
% 2.45/0.70 % (14700)------------------------------
% 2.45/0.71 % (14697)Instruction limit reached!
% 2.45/0.71 % (14697)------------------------------
% 2.45/0.71 % (14697)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71 % (14697)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71 % (14697)Termination reason: Unknown
% 2.45/0.71 % (14697)Termination phase: Saturation
% 2.45/0.71 % (14698)Instruction limit reached!
% 2.45/0.71 % (14698)------------------------------
% 2.45/0.71 % (14698)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71
% 2.45/0.71 % (14698)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71 % (14697)Memory used [KB]: 6780
% 2.45/0.71 % (14698)Termination reason: Unknown
% 2.45/0.71 % (14698)Termination phase: Saturation
% 2.45/0.71 % (14697)Time elapsed: 0.290 s
% 2.45/0.71
% 2.45/0.71 % (14697)Instructions burned: 44 (million)
% 2.45/0.71 % (14697)------------------------------
% 2.45/0.71 % (14697)------------------------------
% 2.45/0.71 % (14698)Memory used [KB]: 5884
% 2.45/0.71 % (14698)Time elapsed: 0.286 s
% 2.45/0.71 % (14698)Instructions burned: 22 (million)
% 2.45/0.71 % (14698)------------------------------
% 2.45/0.71 % (14698)------------------------------
% 2.45/0.71 % (14688)Instruction limit reached!
% 2.45/0.71 % (14688)------------------------------
% 2.45/0.71 % (14688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71 % (14688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71 % (14688)Termination reason: Unknown
% 2.45/0.71 % (14688)Termination phase: Saturation
% 2.45/0.71
% 2.45/0.71 % (14688)Memory used [KB]: 6396
% 2.45/0.71 % (14688)Time elapsed: 0.209 s
% 2.45/0.71 % (14688)Instructions burned: 49 (million)
% 2.45/0.71 % (14688)------------------------------
% 2.45/0.71 % (14688)------------------------------
% 2.45/0.71 % (14694)Instruction limit reached!
% 2.45/0.71 % (14694)------------------------------
% 2.45/0.71 % (14694)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.71 % (14694)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.71 % (14694)Termination reason: Unknown
% 2.45/0.71 % (14694)Termination phase: Saturation
% 2.45/0.71
% 2.45/0.71 % (14694)Memory used [KB]: 6268
% 2.45/0.71 % (14694)Time elapsed: 0.275 s
% 2.45/0.71 % (14694)Instructions burned: 50 (million)
% 2.45/0.71 % (14694)------------------------------
% 2.45/0.71 % (14694)------------------------------
% 2.45/0.73 % (14675)Instruction limit reached!
% 2.45/0.73 % (14675)------------------------------
% 2.45/0.73 % (14675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.73 % (14675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.73 % (14675)Termination reason: Unknown
% 2.45/0.73 % (14675)Termination phase: Saturation
% 2.45/0.73
% 2.45/0.73 % (14675)Memory used [KB]: 6268
% 2.45/0.73 % (14675)Time elapsed: 0.288 s
% 2.45/0.73 % (14675)Instructions burned: 37 (million)
% 2.45/0.73 % (14675)------------------------------
% 2.45/0.73 % (14675)------------------------------
% 2.45/0.73 % (14696)Instruction limit reached!
% 2.45/0.73 % (14696)------------------------------
% 2.45/0.73 % (14696)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.73 % (14696)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.73 % (14696)Termination reason: Unknown
% 2.45/0.73 % (14696)Termination phase: Saturation
% 2.45/0.73
% 2.45/0.73 % (14696)Memory used [KB]: 6524
% 2.45/0.73 % (14696)Time elapsed: 0.285 s
% 2.45/0.73 % (14696)Instructions burned: 42 (million)
% 2.45/0.73 % (14696)------------------------------
% 2.45/0.73 % (14696)------------------------------
% 2.45/0.74 % (14734)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 2.45/0.75 % (14695)Instruction limit reached!
% 2.45/0.75 % (14695)------------------------------
% 2.45/0.75 % (14695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.75 % (14695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.75 % (14695)Termination reason: Unknown
% 2.45/0.75 % (14695)Termination phase: Saturation
% 2.45/0.75
% 2.45/0.75 % (14695)Memory used [KB]: 1791
% 2.45/0.75 % (14695)Time elapsed: 0.303 s
% 2.45/0.75 % (14695)Instructions burned: 48 (million)
% 2.45/0.75 % (14695)------------------------------
% 2.45/0.75 % (14695)------------------------------
% 2.45/0.75 % (14735)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 2.45/0.76 % (14734)Instruction limit reached!
% 2.45/0.76 % (14734)------------------------------
% 2.45/0.76 % (14734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.45/0.76 % (14734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.45/0.76 % (14734)Termination reason: Unknown
% 2.45/0.76 % (14734)Termination phase: Saturation
% 2.45/0.76
% 2.45/0.76 % (14734)Memory used [KB]: 5884
% 2.45/0.76 % (14734)Time elapsed: 0.009 s
% 2.45/0.76 % (14734)Instructions burned: 16 (million)
% 2.45/0.76 % (14734)------------------------------
% 2.45/0.76 % (14734)------------------------------
% 2.71/0.76 % (14738)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 2.71/0.76 % (14736)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/25Mi)
% 2.71/0.76 % (14737)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/148Mi)
% 2.71/0.77 % (14739)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/76Mi)
% 2.71/0.77 % (14740)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/58Mi)
% 2.71/0.79 % (14741)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/96Mi)
% 2.71/0.80 % (14736)Instruction limit reached!
% 2.71/0.80 % (14736)------------------------------
% 2.71/0.80 % (14736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.80 % (14745)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/494Mi)
% 2.71/0.80 % (14743)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/463Mi)
% 2.71/0.80 % (14742)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/108Mi)
% 2.71/0.81 % (14735)Instruction limit reached!
% 2.71/0.81 % (14735)------------------------------
% 2.71/0.81 % (14735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.81 % (14750)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/150Mi)
% 2.71/0.81 % (14736)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.81 % (14736)Termination reason: Unknown
% 2.71/0.81 % (14736)Termination phase: Saturation
% 2.71/0.81
% 2.71/0.81 % (14736)Memory used [KB]: 6012
% 2.71/0.81 % (14736)Time elapsed: 0.142 s
% 2.71/0.81 % (14736)Instructions burned: 25 (million)
% 2.71/0.81 % (14736)------------------------------
% 2.71/0.81 % (14736)------------------------------
% 2.71/0.81 % (14746)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/223Mi)
% 2.78/0.81 % (14749)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 2.78/0.81 % (14735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.78/0.81 % (14735)Termination reason: Unknown
% 2.78/0.81 % (14735)Termination phase: Saturation
% 2.78/0.81
% 2.78/0.81 % (14735)Memory used [KB]: 6268
% 2.78/0.81 % (14735)Time elapsed: 0.172 s
% 2.78/0.81 % (14735)Instructions burned: 49 (million)
% 2.78/0.81 % (14735)------------------------------
% 2.78/0.81 % (14735)------------------------------
% 2.78/0.82 % (14754)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/81Mi)
% 2.78/0.82 % (14761)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/213Mi)
% 2.78/0.82 % (14753)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/493Mi)
% 2.78/0.82 % (14748)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/343Mi)
% 2.78/0.83 % (14756)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/211Mi)
% 2.78/0.83 % (14751)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/160Mi)
% 2.87/0.83 % (14752)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/370Mi)
% 2.87/0.83 % (14760)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/294Mi)
% 2.87/0.84 % (14755)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/146Mi)
% 2.87/0.84 % (14762)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/374Mi)
% 2.87/0.84 % (14767)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/488Mi)
% 2.87/0.84 % (14759)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/330Mi)
% 2.87/0.86 % (14757)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/274Mi)
% 2.87/0.86 % (14764)ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/500Mi)
% 2.87/0.87 % (14759)Refutation not found, incomplete strategy% (14759)------------------------------
% 2.87/0.87 % (14759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.87 % (14759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.87 % (14759)Termination reason: Refutation not found, incomplete strategy
% 2.87/0.87
% 2.87/0.87 % (14759)Memory used [KB]: 5756
% 2.87/0.87 % (14759)Time elapsed: 0.123 s
% 2.87/0.87 % (14759)Instructions burned: 12 (million)
% 2.87/0.87 % (14759)------------------------------
% 2.87/0.87 % (14759)------------------------------
% 2.87/0.88 % (14774)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/230Mi)
% 2.87/0.88 % (14740)Refutation not found, non-redundant clauses discarded% (14740)------------------------------
% 2.87/0.88 % (14740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.88 % (14740)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.88 % (14740)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.87/0.88
% 2.87/0.88 % (14740)Memory used [KB]: 6780
% 2.87/0.88 % (14740)Time elapsed: 0.203 s
% 2.87/0.88 % (14740)Instructions burned: 57 (million)
% 2.87/0.88 % (14740)------------------------------
% 2.87/0.88 % (14740)------------------------------
% 2.87/0.88 % (14739)Instruction limit reached!
% 2.87/0.88 % (14739)------------------------------
% 2.87/0.88 % (14739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.90 % (14781)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/360Mi)
% 2.87/0.90 % (14739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.90 % (14739)Termination reason: Unknown
% 2.87/0.90 % (14739)Termination phase: Saturation
% 2.87/0.90
% 2.87/0.90 % (14739)Memory used [KB]: 6780
% 2.87/0.90 % (14739)Time elapsed: 0.222 s
% 2.87/0.90 % (14739)Instructions burned: 76 (million)
% 2.87/0.90 % (14739)------------------------------
% 2.87/0.90 % (14739)------------------------------
% 3.07/0.92 % (14738)Instruction limit reached!
% 3.07/0.92 % (14738)------------------------------
% 3.07/0.92 % (14738)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.92 % (14738)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.92 % (14738)Termination reason: Unknown
% 3.07/0.92 % (14738)Termination phase: Saturation
% 3.07/0.92
% 3.07/0.92 % (14738)Memory used [KB]: 6780
% 3.07/0.92 % (14738)Time elapsed: 0.272 s
% 3.07/0.92 % (14738)Instructions burned: 100 (million)
% 3.07/0.92 % (14738)------------------------------
% 3.07/0.92 % (14738)------------------------------
% 3.07/0.92 % (14741)Instruction limit reached!
% 3.07/0.92 % (14741)------------------------------
% 3.07/0.92 % (14741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.92 % (14754)Instruction limit reached!
% 3.07/0.92 % (14754)------------------------------
% 3.07/0.92 % (14754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.93 % (14741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.93 % (14741)Termination reason: Unknown
% 3.07/0.93 % (14741)Termination phase: Saturation
% 3.07/0.93
% 3.07/0.93 % (14741)Memory used [KB]: 6012
% 3.07/0.93 % (14741)Time elapsed: 0.214 s
% 3.07/0.93 % (14741)Instructions burned: 96 (million)
% 3.07/0.93 % (14741)------------------------------
% 3.07/0.93 % (14741)------------------------------
% 3.07/0.93 % (14742)Instruction limit reached!
% 3.07/0.93 % (14742)------------------------------
% 3.07/0.93 % (14742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.93 % (14742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.93 % (14754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.93 % (14754)Termination reason: Unknown
% 3.07/0.93 % (14754)Termination phase: Saturation
% 3.07/0.93
% 3.07/0.93 % (14754)Memory used [KB]: 6396
% 3.07/0.93 % (14754)Time elapsed: 0.205 s
% 3.07/0.93 % (14754)Instructions burned: 81 (million)
% 3.07/0.93 % (14754)------------------------------
% 3.07/0.93 % (14754)------------------------------
% 3.07/0.93 % (14742)Termination reason: Unknown
% 3.07/0.93 % (14742)Termination phase: Saturation
% 3.07/0.93
% 3.07/0.93 % (14742)Memory used [KB]: 6140
% 3.07/0.93 % (14742)Time elapsed: 0.048 s
% 3.07/0.93 % (14742)Instructions burned: 109 (million)
% 3.07/0.93 % (14742)------------------------------
% 3.07/0.93 % (14742)------------------------------
% 3.07/0.94 % (14805)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/382Mi)
% 3.07/0.94 % (14808)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/256Mi)
% 3.07/0.96 % (14737)Instruction limit reached!
% 3.07/0.96 % (14737)------------------------------
% 3.07/0.96 % (14737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.97 % (14828)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1006Mi)
% 3.40/0.98 % (14750)Instruction limit reached!
% 3.40/0.98 % (14750)------------------------------
% 3.40/0.98 % (14750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.98 % (14750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.98 % (14750)Termination reason: Unknown
% 3.40/0.98 % (14750)Termination phase: Saturation
% 3.40/0.98
% 3.40/0.98 % (14750)Memory used [KB]: 1663
% 3.40/0.98 % (14750)Time elapsed: 0.288 s
% 3.40/0.98 % (14750)Instructions burned: 151 (million)
% 3.40/0.98 % (14750)------------------------------
% 3.40/0.98 % (14750)------------------------------
% 3.40/0.99 % (14737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.99 % (14737)Termination reason: Unknown
% 3.40/0.99 % (14737)Termination phase: Saturation
% 3.40/0.99
% 3.40/0.99 % (14737)Memory used [KB]: 7036
% 3.40/0.99 % (14737)Time elapsed: 0.331 s
% 3.40/0.99 % (14737)Instructions burned: 149 (million)
% 3.40/0.99 % (14737)------------------------------
% 3.40/0.99 % (14737)------------------------------
% 3.40/1.00 % (14840)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/3721Mi)
% 3.40/1.03 % (14755)Instruction limit reached!
% 3.40/1.03 % (14755)------------------------------
% 3.40/1.03 % (14755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/1.03 % (14751)Instruction limit reached!
% 3.40/1.03 % (14751)------------------------------
% 3.40/1.03 % (14751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/1.03 % (14751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/1.03 % (14751)Termination reason: Unknown
% 3.40/1.03 % (14751)Termination phase: Saturation
% 3.40/1.03
% 3.40/1.03 % (14751)Memory used [KB]: 1918
% 3.40/1.03 % (14751)Time elapsed: 0.336 s
% 3.40/1.03 % (14751)Instructions burned: 161 (million)
% 3.40/1.03 % (14751)------------------------------
% 3.40/1.03 % (14751)------------------------------
% 3.40/1.03 % (14851)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/501Mi)
% 3.40/1.04 % (14868)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1705Mi)
% 3.40/1.04 % (14755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/1.04 % (14755)Termination reason: Unknown
% 3.40/1.04 % (14755)Termination phase: Saturation
% 3.40/1.04
% 3.40/1.04 % (14755)Memory used [KB]: 1918
% 3.40/1.04 % (14755)Time elapsed: 0.322 s
% 3.40/1.04 % (14755)Instructions burned: 147 (million)
% 3.40/1.04 % (14755)------------------------------
% 3.40/1.04 % (14755)------------------------------
% 3.40/1.06 % (14873)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2416Mi)
% 3.81/1.07 % (14880)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/330Mi)
% 3.81/1.07 % (14879)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1683Mi)
% 3.81/1.10 % (14746)Refutation not found, non-redundant clauses discarded% (14746)------------------------------
% 3.81/1.10 % (14746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.81/1.10 % (14746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.81/1.10 % (14746)Termination reason: Refutation not found, non-redundant clauses discarded
% 3.81/1.10
% 3.81/1.10 % (14746)Memory used [KB]: 2046
% 3.81/1.10 % (14746)Time elapsed: 0.428 s
% 3.81/1.10 % (14746)Instructions burned: 200 (million)
% 3.81/1.10 % (14746)------------------------------
% 3.81/1.10 % (14746)------------------------------
% 3.81/1.10 % (14914)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3217Mi)
% 3.81/1.12 % (14912)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/113Mi)
% 6.05/1.15 % (14761)Instruction limit reached!
% 6.05/1.15 % (14761)------------------------------
% 6.05/1.15 % (14761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.05/1.15 % (14761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.05/1.15 % (14761)Termination reason: Unknown
% 6.05/1.15 % (14761)Termination phase: Saturation
% 6.05/1.15
% 6.05/1.15 % (14761)Memory used [KB]: 9210
% 6.05/1.15 % (14761)Time elapsed: 0.400 s
% 6.05/1.15 % (14761)Instructions burned: 215 (million)
% 6.05/1.15 % (14761)------------------------------
% 6.05/1.15 % (14761)------------------------------
% 6.32/1.17 % (14756)Instruction limit reached!
% 6.32/1.17 % (14756)------------------------------
% 6.32/1.17 % (14756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.32/1.17 % (14756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.32/1.17 % (14756)Termination reason: Unknown
% 6.32/1.17 % (14756)Termination phase: Saturation
% 6.32/1.17
% 6.32/1.17 % (14756)Memory used [KB]: 8443
% 6.32/1.17 % (14756)Time elapsed: 0.449 s
% 6.32/1.17 % (14756)Instructions burned: 211 (million)
% 6.32/1.17 % (14756)------------------------------
% 6.32/1.17 % (14756)------------------------------
% 6.32/1.19 % (14774)Refutation not found, non-redundant clauses discarded% (14774)------------------------------
% 6.32/1.19 % (14774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.32/1.19 % (14774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.32/1.19 % (14774)Termination reason: Refutation not found, non-redundant clauses discarded
% 6.32/1.19
% 6.32/1.19 % (14774)Memory used [KB]: 2558
% 6.32/1.19 % (14774)Time elapsed: 0.428 s
% 6.32/1.19 % (14774)Instructions burned: 229 (million)
% 6.32/1.19 % (14774)------------------------------
% 6.32/1.19 % (14774)------------------------------
% 6.32/1.19 % (14927)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/3528Mi)
% 6.32/1.19 % (14934)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2304Mi)
% 6.32/1.24 % (14942)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/3780Mi)
% 6.96/1.26 % (14757)Instruction limit reached!
% 6.96/1.26 % (14757)------------------------------
% 6.96/1.26 % (14757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.96/1.26 % (14757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.26 % (14757)Termination reason: Unknown
% 6.96/1.26 % (14757)Termination phase: Saturation
% 6.96/1.26
% 6.96/1.26 % (14757)Memory used [KB]: 7803
% 6.96/1.26 % (14757)Time elapsed: 0.526 s
% 6.96/1.26 % (14757)Instructions burned: 276 (million)
% 6.96/1.26 % (14757)------------------------------
% 6.96/1.26 % (14757)------------------------------
% 6.96/1.26 % (14958)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/238Mi)
% 6.96/1.27 % (14912)Instruction limit reached!
% 6.96/1.27 % (14912)------------------------------
% 6.96/1.27 % (14912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.96/1.27 % (14912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.27 % (14912)Termination reason: Unknown
% 6.96/1.27 % (14912)Termination phase: Saturation
% 6.96/1.27
% 6.96/1.27 % (14912)Memory used [KB]: 1407
% 6.96/1.27 % (14912)Time elapsed: 0.042 s
% 6.96/1.27 % (14912)Instructions burned: 113 (million)
% 6.96/1.27 % (14912)------------------------------
% 6.96/1.27 % (14912)------------------------------
% 6.96/1.27 % (14760)Instruction limit reached!
% 6.96/1.27 % (14760)------------------------------
% 6.96/1.27 % (14760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.96/1.27 % (14760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.96/1.27 % (14760)Termination reason: Unknown
% 6.96/1.27 % (14760)Termination phase: Saturation
% 6.96/1.27
% 6.96/1.27 % (14760)Memory used [KB]: 2174
% 6.96/1.27 % (14760)Time elapsed: 0.536 s
% 6.96/1.27 % (14760)Instructions burned: 296 (million)
% 6.96/1.27 % (14760)------------------------------
% 6.96/1.27 % (14760)------------------------------
% 6.96/1.27 % (14752)First to succeed.
% 7.27/1.30 % (14962)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/656Mi)
% 7.27/1.30 % (14752)Refutation found. Thanks to Tanya!
% 7.27/1.30 % SZS status Theorem for theBenchmark
% 7.27/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 7.27/1.30 % (14752)------------------------------
% 7.27/1.30 % (14752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.27/1.30 % (14752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.27/1.30 % (14752)Termination reason: Refutation
% 7.27/1.30
% 7.27/1.30 % (14752)Memory used [KB]: 2814
% 7.27/1.30 % (14752)Time elapsed: 0.538 s
% 7.27/1.30 % (14752)Instructions burned: 316 (million)
% 7.27/1.30 % (14752)------------------------------
% 7.27/1.30 % (14752)------------------------------
% 7.27/1.30 % (14670)Success in time 0.945 s
%------------------------------------------------------------------------------